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Finding the Fourth Proportional to 9,354.47, 12,909.20 and 5,105.57

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Solution

The fourth proportional to 9,354.47, 12,909.20 and 5,105.57 is: 7,045.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,354.47 : 12,909.20 = 5,105.57 : x
  2. Step 2: Convert to fraction form
    9,354.47/12,909.20 = 5,105.57/x
  3. Step 3: Cross multiply
    9,354.47x = 12,909.20 × 5,105.57
  4. Step 4: Simplify right side
    9,354.47x = 65,908,734.17
  5. Step 5: Solve for x
    x = 65,908,734.17/9,354.47
  6. Step 6: Final answer
    x = 7,045.70

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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.