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Finding the Fourth Proportional to 8,909.82, 12,294.71 and 5,324.06

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Solution

The fourth proportional to 8,909.82, 12,294.71 and 5,324.06 is: 7,346.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,909.82 : 12,294.71 = 5,324.06 : x
  2. Step 2: Convert to fraction form
    8,909.82/12,294.71 = 5,324.06/x
  3. Step 3: Cross multiply
    8,909.82x = 12,294.71 × 5,324.06
  4. Step 4: Simplify right side
    8,909.82x = 65,457,773.72
  5. Step 5: Solve for x
    x = 65,457,773.72/8,909.82
  6. Step 6: Final answer
    x = 7,346.70

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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.