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Finding the Fourth Proportional to 9,005.76, 13,489.47 and 4,318.83

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Solution

The fourth proportional to 9,005.76, 13,489.47 and 4,318.83 is: 6,469.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,005.76 : 13,489.47 = 4,318.83 : x
  2. Step 2: Convert to fraction form
    9,005.76/13,489.47 = 4,318.83/x
  3. Step 3: Cross multiply
    9,005.76x = 13,489.47 × 4,318.83
  4. Step 4: Simplify right side
    9,005.76x = 58,258,727.72
  5. Step 5: Solve for x
    x = 58,258,727.72/9,005.76
  6. Step 6: Final answer
    x = 6,469.05

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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.