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Finding the Fourth Proportional to 9,006.86, 12,430.59 and 5,469.14

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Solution

The fourth proportional to 9,006.86, 12,430.59 and 5,469.14 is: 7,548.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,006.86 : 12,430.59 = 5,469.14 : x
  2. Step 2: Convert to fraction form
    9,006.86/12,430.59 = 5,469.14/x
  3. Step 3: Cross multiply
    9,006.86x = 12,430.59 × 5,469.14
  4. Step 4: Simplify right side
    9,006.86x = 67,984,636.99
  5. Step 5: Solve for x
    x = 67,984,636.99/9,006.86
  6. Step 6: Final answer
    x = 7,548.10

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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.