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Finding the Fourth Proportional to 7,013.17, 9,681.68 and 4,361.43

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Solution

The fourth proportional to 7,013.17, 9,681.68 and 4,361.43 is: 6,020.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,013.17 : 9,681.68 = 4,361.43 : x
  2. Step 2: Convert to fraction form
    7,013.17/9,681.68 = 4,361.43/x
  3. Step 3: Cross multiply
    7,013.17x = 9,681.68 × 4,361.43
  4. Step 4: Simplify right side
    7,013.17x = 42,225,947.80
  5. Step 5: Solve for x
    x = 42,225,947.80/7,013.17
  6. Step 6: Final answer
    x = 6,020.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.