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Finding the Fourth Proportional to 6,397.14, 9,598.49 and 2,240.13

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Solution

The fourth proportional to 6,397.14, 9,598.49 and 2,240.13 is: 3,361.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,397.14 : 9,598.49 = 2,240.13 : x
  2. Step 2: Convert to fraction form
    6,397.14/9,598.49 = 2,240.13/x
  3. Step 3: Cross multiply
    6,397.14x = 9,598.49 × 2,240.13
  4. Step 4: Simplify right side
    6,397.14x = 21,501,865.40
  5. Step 5: Solve for x
    x = 21,501,865.40/6,397.14
  6. Step 6: Final answer
    x = 3,361.17

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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.