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Finding the Fourth Proportional to 6,337.70, 9,506.55 and 5,657.30

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Solution

The fourth proportional to 6,337.70, 9,506.55 and 5,657.30 is: 8,485.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,337.70 : 9,506.55 = 5,657.30 : x
  2. Step 2: Convert to fraction form
    6,337.70/9,506.55 = 5,657.30/x
  3. Step 3: Cross multiply
    6,337.70x = 9,506.55 × 5,657.30
  4. Step 4: Simplify right side
    6,337.70x = 53,781,405.32
  5. Step 5: Solve for x
    x = 53,781,405.32/6,337.70
  6. Step 6: Final answer
    x = 8,485.95

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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.