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Finding the Fourth Proportional to 9,917.69, 13,686.42 and 5,725.94

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Solution

The fourth proportional to 9,917.69, 13,686.42 and 5,725.94 is: 7,901.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,917.69 : 13,686.42 = 5,725.94 : x
  2. Step 2: Convert to fraction form
    9,917.69/13,686.42 = 5,725.94/x
  3. Step 3: Cross multiply
    9,917.69x = 13,686.42 × 5,725.94
  4. Step 4: Simplify right side
    9,917.69x = 78,367,585.52
  5. Step 5: Solve for x
    x = 78,367,585.52/9,917.69
  6. Step 6: Final answer
    x = 7,901.80

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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.