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Finding the Fourth Proportional to 8,917.69, 12,306.38 and 5,140.83

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Solution

The fourth proportional to 8,917.69, 12,306.38 and 5,140.83 is: 7,094.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,917.69 : 12,306.38 = 5,140.83 : x
  2. Step 2: Convert to fraction form
    8,917.69/12,306.38 = 5,140.83/x
  3. Step 3: Cross multiply
    8,917.69x = 12,306.38 × 5,140.83
  4. Step 4: Simplify right side
    8,917.69x = 63,265,043.42
  5. Step 5: Solve for x
    x = 63,265,043.42/8,917.69
  6. Step 6: Final answer
    x = 7,094.33

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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.