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Finding the Fourth Proportional to 9,472.18, 14,191.31 and 5,772.46

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Solution

The fourth proportional to 9,472.18, 14,191.31 and 5,772.46 is: 8,648.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,472.18 : 14,191.31 = 5,772.46 : x
  2. Step 2: Convert to fraction form
    9,472.18/14,191.31 = 5,772.46/x
  3. Step 3: Cross multiply
    9,472.18x = 14,191.31 × 5,772.46
  4. Step 4: Simplify right side
    9,472.18x = 81,918,740.46
  5. Step 5: Solve for x
    x = 81,918,740.46/9,472.18
  6. Step 6: Final answer
    x = 8,648.35

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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.