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Finding the Fourth Proportional to 9,686.72, 14,517.12 and 5,528

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Solution

The fourth proportional to 9,686.72, 14,517.12 and 5,528 is: 8,284.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,686.72 : 14,517.12 = 5,528 : x
  2. Step 2: Convert to fraction form
    9,686.72/14,517.12 = 5,528/x
  3. Step 3: Cross multiply
    9,686.72x = 14,517.12 × 5,528
  4. Step 4: Simplify right side
    9,686.72x = 80,250,639.36
  5. Step 5: Solve for x
    x = 80,250,639.36/9,686.72
  6. Step 6: Final answer
    x = 8,284.60

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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.