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Finding the Fourth Proportional to 9,152.55, 13,711.23 and 5,443.47

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Solution

The fourth proportional to 9,152.55, 13,711.23 and 5,443.47 is: 8,154.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,152.55 : 13,711.23 = 5,443.47 : x
  2. Step 2: Convert to fraction form
    9,152.55/13,711.23 = 5,443.47/x
  3. Step 3: Cross multiply
    9,152.55x = 13,711.23 × 5,443.47
  4. Step 4: Simplify right side
    9,152.55x = 74,636,669.17
  5. Step 5: Solve for x
    x = 74,636,669.17/9,152.55
  6. Step 6: Final answer
    x = 8,154.74

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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.