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Finding the Fourth Proportional to 9,308.64, 12,846 and 5,116.80

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Solution

The fourth proportional to 9,308.64, 12,846 and 5,116.80 is: 7,061.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,308.64 : 12,846 = 5,116.80 : x
  2. Step 2: Convert to fraction form
    9,308.64/12,846 = 5,116.80/x
  3. Step 3: Cross multiply
    9,308.64x = 12,846 × 5,116.80
  4. Step 4: Simplify right side
    9,308.64x = 65,730,412.80
  5. Step 5: Solve for x
    x = 65,730,412.80/9,308.64
  6. Step 6: Final answer
    x = 7,061.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.