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Finding the Fourth Proportional to 6,549.32, 9,840.38 and 6,155.66

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Solution

The fourth proportional to 6,549.32, 9,840.38 and 6,155.66 is: 9,248.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,549.32 : 9,840.38 = 6,155.66 : x
  2. Step 2: Convert to fraction form
    6,549.32/9,840.38 = 6,155.66/x
  3. Step 3: Cross multiply
    6,549.32x = 9,840.38 × 6,155.66
  4. Step 4: Simplify right side
    6,549.32x = 60,573,953.57
  5. Step 5: Solve for x
    x = 60,573,953.57/6,549.32
  6. Step 6: Final answer
    x = 9,248.90

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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.