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Finding the Fourth Proportional to 9,132, 13,696.56 and 4,201.44

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Solution

The fourth proportional to 9,132, 13,696.56 and 4,201.44 is: 6,301.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,132 : 13,696.56 = 4,201.44 : x
  2. Step 2: Convert to fraction form
    9,132/13,696.56 = 4,201.44/x
  3. Step 3: Cross multiply
    9,132x = 13,696.56 × 4,201.44
  4. Step 4: Simplify right side
    9,132x = 57,545,275.05
  5. Step 5: Solve for x
    x = 57,545,275.05/9,132
  6. Step 6: Final answer
    x = 6,301.50

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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.