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Finding the Fourth Proportional to 9,142.48, 12,616.96 and 5,164.19

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Solution

The fourth proportional to 9,142.48, 12,616.96 and 5,164.19 is: 7,126.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,142.48 : 12,616.96 = 5,164.19 : x
  2. Step 2: Convert to fraction form
    9,142.48/12,616.96 = 5,164.19/x
  3. Step 3: Cross multiply
    9,142.48x = 12,616.96 × 5,164.19
  4. Step 4: Simplify right side
    9,142.48x = 65,156,378.66
  5. Step 5: Solve for x
    x = 65,156,378.66/9,142.48
  6. Step 6: Final answer
    x = 7,126.77

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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.