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Finding the Fourth Proportional to 9,641.76, 14,445.12 and 8,091.72

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Solution

The fourth proportional to 9,641.76, 14,445.12 and 8,091.72 is: 12,122.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,641.76 : 14,445.12 = 8,091.72 : x
  2. Step 2: Convert to fraction form
    9,641.76/14,445.12 = 8,091.72/x
  3. Step 3: Cross multiply
    9,641.76x = 14,445.12 × 8,091.72
  4. Step 4: Simplify right side
    9,641.76x = 116,885,866.41
  5. Step 5: Solve for x
    x = 116,885,866.41/9,641.76
  6. Step 6: Final answer
    x = 12,122.88

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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.