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Finding the Fourth Proportional to 9,117.82, 13,678.17 and 2,876.66

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Solution

The fourth proportional to 9,117.82, 13,678.17 and 2,876.66 is: 4,315.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,117.82 : 13,678.17 = 2,876.66 : x
  2. Step 2: Convert to fraction form
    9,117.82/13,678.17 = 2,876.66/x
  3. Step 3: Cross multiply
    9,117.82x = 13,678.17 × 2,876.66
  4. Step 4: Simplify right side
    9,117.82x = 39,347,493.57
  5. Step 5: Solve for x
    x = 39,347,493.57/9,117.82
  6. Step 6: Final answer
    x = 4,315.45

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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.