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Finding the Fourth Proportional to 9,631, 13,291.86 and 5,439.52

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Solution

The fourth proportional to 9,631, 13,291.86 and 5,439.52 is: 7,507.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,631 : 13,291.86 = 5,439.52 : x
  2. Step 2: Convert to fraction form
    9,631/13,291.86 = 5,439.52/x
  3. Step 3: Cross multiply
    9,631x = 13,291.86 × 5,439.52
  4. Step 4: Simplify right side
    9,631x = 72,301,338.31
  5. Step 5: Solve for x
    x = 72,301,338.31/9,631
  6. Step 6: Final answer
    x = 7,507.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.