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Finding the Fourth Proportional to 9,140.85, 12,613.59 and 5,161.59

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Solution

The fourth proportional to 9,140.85, 12,613.59 and 5,161.59 is: 7,122.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,140.85 : 12,613.59 = 5,161.59 : x
  2. Step 2: Convert to fraction form
    9,140.85/12,613.59 = 5,161.59/x
  3. Step 3: Cross multiply
    9,140.85x = 12,613.59 × 5,161.59
  4. Step 4: Simplify right side
    9,140.85x = 65,106,180.01
  5. Step 5: Solve for x
    x = 65,106,180.01/9,140.85
  6. Step 6: Final answer
    x = 7,122.55

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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.