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Finding the Fourth Proportional to 9,684.32, 14,517.72 and 3,526.88

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Solution

The fourth proportional to 9,684.32, 14,517.72 and 3,526.88 is: 5,287.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,684.32 : 14,517.72 = 3,526.88 : x
  2. Step 2: Convert to fraction form
    9,684.32/14,517.72 = 3,526.88/x
  3. Step 3: Cross multiply
    9,684.32x = 14,517.72 × 3,526.88
  4. Step 4: Simplify right side
    9,684.32x = 51,202,256.31
  5. Step 5: Solve for x
    x = 51,202,256.31/9,684.32
  6. Step 6: Final answer
    x = 5,287.13

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