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Finding the Fourth Proportional to 9,281.64, 12,802.14 and 5,920.92

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Solution

The fourth proportional to 9,281.64, 12,802.14 and 5,920.92 is: 8,166.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,281.64 : 12,802.14 = 5,920.92 : x
  2. Step 2: Convert to fraction form
    9,281.64/12,802.14 = 5,920.92/x
  3. Step 3: Cross multiply
    9,281.64x = 12,802.14 × 5,920.92
  4. Step 4: Simplify right side
    9,281.64x = 75,800,446.77
  5. Step 5: Solve for x
    x = 75,800,446.77/9,281.64
  6. Step 6: Final answer
    x = 8,166.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.