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Finding the Fourth Proportional to 9,594.38, 13,240.24 and 5,615.30

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Solution

The fourth proportional to 9,594.38, 13,240.24 and 5,615.30 is: 7,749.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,594.38 : 13,240.24 = 5,615.30 : x
  2. Step 2: Convert to fraction form
    9,594.38/13,240.24 = 5,615.30/x
  3. Step 3: Cross multiply
    9,594.38x = 13,240.24 × 5,615.30
  4. Step 4: Simplify right side
    9,594.38x = 74,347,839.43
  5. Step 5: Solve for x
    x = 74,347,839.43/9,594.38
  6. Step 6: Final answer
    x = 7,749.11

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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.