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Finding the Fourth Proportional to 8,934.35, 13,397.20 and 5,237.78

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Solution

The fourth proportional to 8,934.35, 13,397.20 and 5,237.78 is: 7,854.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,934.35 : 13,397.20 = 5,237.78 : x
  2. Step 2: Convert to fraction form
    8,934.35/13,397.20 = 5,237.78/x
  3. Step 3: Cross multiply
    8,934.35x = 13,397.20 × 5,237.78
  4. Step 4: Simplify right side
    8,934.35x = 70,171,586.22
  5. Step 5: Solve for x
    x = 70,171,586.22/8,934.35
  6. Step 6: Final answer
    x = 7,854.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.