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Finding the Fourth Proportional to 6,244.35, 9,348.30 and 4,166.70

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Solution

The fourth proportional to 6,244.35, 9,348.30 and 4,166.70 is: 6,237.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,244.35 : 9,348.30 = 4,166.70 : x
  2. Step 2: Convert to fraction form
    6,244.35/9,348.30 = 4,166.70/x
  3. Step 3: Cross multiply
    6,244.35x = 9,348.30 × 4,166.70
  4. Step 4: Simplify right side
    6,244.35x = 38,951,561.61
  5. Step 5: Solve for x
    x = 38,951,561.61/6,244.35
  6. Step 6: Final answer
    x = 6,237.89

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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.