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Finding the Fourth Proportional to 9,167.30, 12,651.08 and 5,188.42

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Solution

The fourth proportional to 9,167.30, 12,651.08 and 5,188.42 is: 7,160.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,167.30 : 12,651.08 = 5,188.42 : x
  2. Step 2: Convert to fraction form
    9,167.30/12,651.08 = 5,188.42/x
  3. Step 3: Cross multiply
    9,167.30x = 12,651.08 × 5,188.42
  4. Step 4: Simplify right side
    9,167.30x = 65,639,027.30
  5. Step 5: Solve for x
    x = 65,639,027.30/9,167.30
  6. Step 6: Final answer
    x = 7,160.13

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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.