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Finding the Fourth Proportional to 9,772.48, 14,659.50 and 3,536.20

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Solution

The fourth proportional to 9,772.48, 14,659.50 and 3,536.20 is: 5,304.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,772.48 : 14,659.50 = 3,536.20 : x
  2. Step 2: Convert to fraction form
    9,772.48/14,659.50 = 3,536.20/x
  3. Step 3: Cross multiply
    9,772.48x = 14,659.50 × 3,536.20
  4. Step 4: Simplify right side
    9,772.48x = 51,838,923.90
  5. Step 5: Solve for x
    x = 51,838,923.90/9,772.48
  6. Step 6: Final answer
    x = 5,304.58

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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.