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Finding the Fourth Proportional to 9,472.41, 14,207.09 and 4,474.77

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Solution

The fourth proportional to 9,472.41, 14,207.09 and 4,474.77 is: 6,711.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,472.41 : 14,207.09 = 4,474.77 : x
  2. Step 2: Convert to fraction form
    9,472.41/14,207.09 = 4,474.77/x
  3. Step 3: Cross multiply
    9,472.41x = 14,207.09 × 4,474.77
  4. Step 4: Simplify right side
    9,472.41x = 63,573,464.38
  5. Step 5: Solve for x
    x = 63,573,464.38/9,472.41
  6. Step 6: Final answer
    x = 6,711.44

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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.