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Finding the Fourth Proportional to 9,402.11, 14,103.32 and 4,470.75

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Solution

The fourth proportional to 9,402.11, 14,103.32 and 4,470.75 is: 6,706.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,402.11 : 14,103.32 = 4,470.75 : x
  2. Step 2: Convert to fraction form
    9,402.11/14,103.32 = 4,470.75/x
  3. Step 3: Cross multiply
    9,402.11x = 14,103.32 × 4,470.75
  4. Step 4: Simplify right side
    9,402.11x = 63,052,395.54
  5. Step 5: Solve for x
    x = 63,052,395.54/9,402.11
  6. Step 6: Final answer
    x = 6,706.20

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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.