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Finding the Fourth Proportional to 9,149.64, 12,631.86 and 6,011.34

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Solution

The fourth proportional to 9,149.64, 12,631.86 and 6,011.34 is: 8,299.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,149.64 : 12,631.86 = 6,011.34 : x
  2. Step 2: Convert to fraction form
    9,149.64/12,631.86 = 6,011.34/x
  3. Step 3: Cross multiply
    9,149.64x = 12,631.86 × 6,011.34
  4. Step 4: Simplify right side
    9,149.64x = 75,934,405.29
  5. Step 5: Solve for x
    x = 75,934,405.29/9,149.64
  6. Step 6: Final answer
    x = 8,299.17

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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.