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Finding the Fourth Proportional to 9,138.58, 12,612.36 and 5,159.86

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Solution

The fourth proportional to 9,138.58, 12,612.36 and 5,159.86 is: 7,121.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,138.58 : 12,612.36 = 5,159.86 : x
  2. Step 2: Convert to fraction form
    9,138.58/12,612.36 = 5,159.86/x
  3. Step 3: Cross multiply
    9,138.58x = 12,612.36 × 5,159.86
  4. Step 4: Simplify right side
    9,138.58x = 65,078,011.87
  5. Step 5: Solve for x
    x = 65,078,011.87/9,138.58
  6. Step 6: Final answer
    x = 7,121.24

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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.