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Finding the Fourth Proportional to 9,138.12, 12,631.86 and 8,153.16

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Solution

The fourth proportional to 9,138.12, 12,631.86 and 8,153.16 is: 11,270.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,138.12 : 12,631.86 = 8,153.16 : x
  2. Step 2: Convert to fraction form
    9,138.12/12,631.86 = 8,153.16/x
  3. Step 3: Cross multiply
    9,138.12x = 12,631.86 × 8,153.16
  4. Step 4: Simplify right side
    9,138.12x = 102,989,575.68
  5. Step 5: Solve for x
    x = 102,989,575.68/9,138.12
  6. Step 6: Final answer
    x = 11,270.32

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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.