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Finding the Fourth Proportional to 9,689.72, 14,521.62 and 5,531

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Solution

The fourth proportional to 9,689.72, 14,521.62 and 5,531 is: 8,289.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,689.72 : 14,521.62 = 5,531 : x
  2. Step 2: Convert to fraction form
    9,689.72/14,521.62 = 5,531/x
  3. Step 3: Cross multiply
    9,689.72x = 14,521.62 × 5,531
  4. Step 4: Simplify right side
    9,689.72x = 80,319,080.22
  5. Step 5: Solve for x
    x = 80,319,080.22/9,689.72
  6. Step 6: Final answer
    x = 8,289.10

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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.