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Finding the Fourth Proportional to 9,593.10, 13,235.88 and 5,615.20

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Solution

The fourth proportional to 9,593.10, 13,235.88 and 5,615.20 is: 7,747.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,593.10 : 13,235.88 = 5,615.20 : x
  2. Step 2: Convert to fraction form
    9,593.10/13,235.88 = 5,615.20/x
  3. Step 3: Cross multiply
    9,593.10x = 13,235.88 × 5,615.20
  4. Step 4: Simplify right side
    9,593.10x = 74,322,113.38
  5. Step 5: Solve for x
    x = 74,322,113.38/9,593.10
  6. Step 6: Final answer
    x = 7,747.46

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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.