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Finding the Fourth Proportional to 9,142.67, 12,617.12 and 5,607.83

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Solution

The fourth proportional to 9,142.67, 12,617.12 and 5,607.83 is: 7,738.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,142.67 : 12,617.12 = 5,607.83 : x
  2. Step 2: Convert to fraction form
    9,142.67/12,617.12 = 5,607.83/x
  3. Step 3: Cross multiply
    9,142.67x = 12,617.12 × 5,607.83
  4. Step 4: Simplify right side
    9,142.67x = 70,754,664.05
  5. Step 5: Solve for x
    x = 70,754,664.05/9,142.67
  6. Step 6: Final answer
    x = 7,738.95

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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.