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Finding the Fourth Proportional to 6,527.54, 9,005.78 and 4,171.04

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Solution

The fourth proportional to 6,527.54, 9,005.78 and 4,171.04 is: 5,754.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,527.54 : 9,005.78 = 4,171.04 : x
  2. Step 2: Convert to fraction form
    6,527.54/9,005.78 = 4,171.04/x
  3. Step 3: Cross multiply
    6,527.54x = 9,005.78 × 4,171.04
  4. Step 4: Simplify right side
    6,527.54x = 37,563,468.61
  5. Step 5: Solve for x
    x = 37,563,468.61/6,527.54
  6. Step 6: Final answer
    x = 5,754.61

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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.