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Finding the Fourth Proportional to 6,395.02, 9,580.07 and 3,613.28

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Solution

The fourth proportional to 6,395.02, 9,580.07 and 3,613.28 is: 5,412.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,395.02 : 9,580.07 = 3,613.28 : x
  2. Step 2: Convert to fraction form
    6,395.02/9,580.07 = 3,613.28/x
  3. Step 3: Cross multiply
    6,395.02x = 9,580.07 × 3,613.28
  4. Step 4: Simplify right side
    6,395.02x = 34,615,436.46
  5. Step 5: Solve for x
    x = 34,615,436.46/6,395.02
  6. Step 6: Final answer
    x = 5,412.88

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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.