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Finding the Fourth Proportional to 9,138.74, 12,612.06 and 5,159.96

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Solution

The fourth proportional to 9,138.74, 12,612.06 and 5,159.96 is: 7,121.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,138.74 : 12,612.06 = 5,159.96 : x
  2. Step 2: Convert to fraction form
    9,138.74/12,612.06 = 5,159.96/x
  3. Step 3: Cross multiply
    9,138.74x = 12,612.06 × 5,159.96
  4. Step 4: Simplify right side
    9,138.74x = 65,077,662.06
  5. Step 5: Solve for x
    x = 65,077,662.06/9,138.74
  6. Step 6: Final answer
    x = 7,121.07

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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.