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Finding the Fourth Proportional to 9,686,828.40, 14,561,735.40 and 6,866,473.20

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Solution

The fourth proportional to 9,686,828.40, 14,561,735.40 and 6,866,473.20 is: 10,322,033.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,686,828.40 : 14,561,735.40 = 6,866,473.20 : x
  2. Step 2: Convert to fraction form
    9,686,828.40/14,561,735.40 = 6,866,473.20/x
  3. Step 3: Cross multiply
    9,686,828.40x = 14,561,735.40 × 6,866,473.20
  4. Step 4: Simplify right side
    9,686,828.40x = 99,987,765,869,591.28
  5. Step 5: Solve for x
    x = 99,987,765,869,591.28/9,686,828.40
  6. Step 6: Final answer
    x = 10,322,033.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.