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Finding the Fourth Proportional to 9,005.90, 12,428.19 and 5,229.86

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Solution

The fourth proportional to 9,005.90, 12,428.19 and 5,229.86 is: 7,217.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,005.90 : 12,428.19 = 5,229.86 : x
  2. Step 2: Convert to fraction form
    9,005.90/12,428.19 = 5,229.86/x
  3. Step 3: Cross multiply
    9,005.90x = 12,428.19 × 5,229.86
  4. Step 4: Simplify right side
    9,005.90x = 64,997,693.75
  5. Step 5: Solve for x
    x = 64,997,693.75/9,005.90
  6. Step 6: Final answer
    x = 7,217.23

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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.