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Finding the Fourth Proportional to 9,117.92, 13,676.88 and 2,877.95

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Solution

The fourth proportional to 9,117.92, 13,676.88 and 2,877.95 is: 4,316.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,117.92 : 13,676.88 = 2,877.95 : x
  2. Step 2: Convert to fraction form
    9,117.92/13,676.88 = 2,877.95/x
  3. Step 3: Cross multiply
    9,117.92x = 13,676.88 × 2,877.95
  4. Step 4: Simplify right side
    9,117.92x = 39,361,376.80
  5. Step 5: Solve for x
    x = 39,361,376.80/9,117.92
  6. Step 6: Final answer
    x = 4,316.93

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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.