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Finding the Fourth Proportional to 10,472.58, 14,454.36 and 6,641.73

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Solution

The fourth proportional to 10,472.58, 14,454.36 and 6,641.73 is: 9,166.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,472.58 : 14,454.36 = 6,641.73 : x
  2. Step 2: Convert to fraction form
    10,472.58/14,454.36 = 6,641.73/x
  3. Step 3: Cross multiply
    10,472.58x = 14,454.36 × 6,641.73
  4. Step 4: Simplify right side
    10,472.58x = 96,001,956.44
  5. Step 5: Solve for x
    x = 96,001,956.44/10,472.58
  6. Step 6: Final answer
    x = 9,166.98

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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.