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Finding the Fourth Proportional to 9,008.10, 12,431.64 and 5,469.24

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Solution

The fourth proportional to 9,008.10, 12,431.64 and 5,469.24 is: 7,547.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,008.10 : 12,431.64 = 5,469.24 : x
  2. Step 2: Convert to fraction form
    9,008.10/12,431.64 = 5,469.24/x
  3. Step 3: Cross multiply
    9,008.10x = 12,431.64 × 5,469.24
  4. Step 4: Simplify right side
    9,008.10x = 67,991,622.75
  5. Step 5: Solve for x
    x = 67,991,622.75/9,008.10
  6. Step 6: Final answer
    x = 7,547.83

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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.