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Finding the Fourth Proportional to 6,412.13, 9,610.29 and 4,553.18

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Solution

The fourth proportional to 6,412.13, 9,610.29 and 4,553.18 is: 6,824.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,412.13 : 9,610.29 = 4,553.18 : x
  2. Step 2: Convert to fraction form
    6,412.13/9,610.29 = 4,553.18/x
  3. Step 3: Cross multiply
    6,412.13x = 9,610.29 × 4,553.18
  4. Step 4: Simplify right side
    6,412.13x = 43,757,332.17
  5. Step 5: Solve for x
    x = 43,757,332.17/6,412.13
  6. Step 6: Final answer
    x = 6,824.15

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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.