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Finding the Fourth Proportional to 6,401.52, 9,577.44 and 5,615.28

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Solution

The fourth proportional to 6,401.52, 9,577.44 and 5,615.28 is: 8,401.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,401.52 : 9,577.44 = 5,615.28 : x
  2. Step 2: Convert to fraction form
    6,401.52/9,577.44 = 5,615.28/x
  3. Step 3: Cross multiply
    6,401.52x = 9,577.44 × 5,615.28
  4. Step 4: Simplify right side
    6,401.52x = 53,780,007.28
  5. Step 5: Solve for x
    x = 53,780,007.28/6,401.52
  6. Step 6: Final answer
    x = 8,401.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.