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Finding the Fourth Proportional to 9,046.89, 12,471.98 and 7,447.95

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Solution

The fourth proportional to 9,046.89, 12,471.98 and 7,447.95 is: 10,267.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,046.89 : 12,471.98 = 7,447.95 : x
  2. Step 2: Convert to fraction form
    9,046.89/12,471.98 = 7,447.95/x
  3. Step 3: Cross multiply
    9,046.89x = 12,471.98 × 7,447.95
  4. Step 4: Simplify right side
    9,046.89x = 92,890,646.20
  5. Step 5: Solve for x
    x = 92,890,646.20/9,046.89
  6. Step 6: Final answer
    x = 10,267.69

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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.