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Finding the Fourth Proportional to 9,706.80, 14,551.29 and 3,129.60

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Solution

The fourth proportional to 9,706.80, 14,551.29 and 3,129.60 is: 4,691.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,706.80 : 14,551.29 = 3,129.60 : x
  2. Step 2: Convert to fraction form
    9,706.80/14,551.29 = 3,129.60/x
  3. Step 3: Cross multiply
    9,706.80x = 14,551.29 × 3,129.60
  4. Step 4: Simplify right side
    9,706.80x = 45,539,717.18
  5. Step 5: Solve for x
    x = 45,539,717.18/9,706.80
  6. Step 6: Final answer
    x = 4,691.53

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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.