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Finding the Fourth Proportional to 9,324.71, 12,869.82 and 5,345.85

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Solution

The fourth proportional to 9,324.71, 12,869.82 and 5,345.85 is: 7,378.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,324.71 : 12,869.82 = 5,345.85 : x
  2. Step 2: Convert to fraction form
    9,324.71/12,869.82 = 5,345.85/x
  3. Step 3: Cross multiply
    9,324.71x = 12,869.82 × 5,345.85
  4. Step 4: Simplify right side
    9,324.71x = 68,800,127.25
  5. Step 5: Solve for x
    x = 68,800,127.25/9,324.71
  6. Step 6: Final answer
    x = 7,378.26

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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.