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Finding the Fourth Proportional to 9,140.62, 12,612.69 and 5,161.65

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Solution

The fourth proportional to 9,140.62, 12,612.69 and 5,161.65 is: 7,122.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,140.62 : 12,612.69 = 5,161.65 : x
  2. Step 2: Convert to fraction form
    9,140.62/12,612.69 = 5,161.65/x
  3. Step 3: Cross multiply
    9,140.62x = 12,612.69 × 5,161.65
  4. Step 4: Simplify right side
    9,140.62x = 65,102,291.34
  5. Step 5: Solve for x
    x = 65,102,291.34/9,140.62
  6. Step 6: Final answer
    x = 7,122.31

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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.