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Finding the Fourth Proportional to 9,057.14, 13,584.14 and 2,393.71

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Solution

The fourth proportional to 9,057.14, 13,584.14 and 2,393.71 is: 3,590.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,057.14 : 13,584.14 = 2,393.71 : x
  2. Step 2: Convert to fraction form
    9,057.14/13,584.14 = 2,393.71/x
  3. Step 3: Cross multiply
    9,057.14x = 13,584.14 × 2,393.71
  4. Step 4: Simplify right side
    9,057.14x = 32,516,463.78
  5. Step 5: Solve for x
    x = 32,516,463.78/9,057.14
  6. Step 6: Final answer
    x = 3,590.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.