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Finding the Fourth Proportional to 9,151.50, 13,687.68 and 5,394.36

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Solution

The fourth proportional to 9,151.50, 13,687.68 and 5,394.36 is: 8,068.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,151.50 : 13,687.68 = 5,394.36 : x
  2. Step 2: Convert to fraction form
    9,151.50/13,687.68 = 5,394.36/x
  3. Step 3: Cross multiply
    9,151.50x = 13,687.68 × 5,394.36
  4. Step 4: Simplify right side
    9,151.50x = 73,836,273.48
  5. Step 5: Solve for x
    x = 73,836,273.48/9,151.50
  6. Step 6: Final answer
    x = 8,068.22

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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.