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Finding the Fourth Proportional to 9,758.88, 14,641.76 and 6,484.96

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Solution

The fourth proportional to 9,758.88, 14,641.76 and 6,484.96 is: 9,729.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,758.88 : 14,641.76 = 6,484.96 : x
  2. Step 2: Convert to fraction form
    9,758.88/14,641.76 = 6,484.96/x
  3. Step 3: Cross multiply
    9,758.88x = 14,641.76 × 6,484.96
  4. Step 4: Simplify right side
    9,758.88x = 94,951,227.93
  5. Step 5: Solve for x
    x = 94,951,227.93/9,758.88
  6. Step 6: Final answer
    x = 9,729.73

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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.