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Finding the Fourth Proportional to 9,144.85, 12,619.71 and 5,166.13

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Solution

The fourth proportional to 9,144.85, 12,619.71 and 5,166.13 is: 7,129.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,144.85 : 12,619.71 = 5,166.13 : x
  2. Step 2: Convert to fraction form
    9,144.85/12,619.71 = 5,166.13/x
  3. Step 3: Cross multiply
    9,144.85x = 12,619.71 × 5,166.13
  4. Step 4: Simplify right side
    9,144.85x = 65,195,062.42
  5. Step 5: Solve for x
    x = 65,195,062.42/9,144.85
  6. Step 6: Final answer
    x = 7,129.16

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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.