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Finding the Fourth Proportional to 9,142.47, 13,713.70 and 2,216.97

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Solution

The fourth proportional to 9,142.47, 13,713.70 and 2,216.97 is: 3,325.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,142.47 : 13,713.70 = 2,216.97 : x
  2. Step 2: Convert to fraction form
    9,142.47/13,713.70 = 2,216.97/x
  3. Step 3: Cross multiply
    9,142.47x = 13,713.70 × 2,216.97
  4. Step 4: Simplify right side
    9,142.47x = 30,402,861.49
  5. Step 5: Solve for x
    x = 30,402,861.49/9,142.47
  6. Step 6: Final answer
    x = 3,325.45

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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.