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Finding the Fourth Proportional to 9,146.72, 12,631.44 and 7,812.65

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Solution

The fourth proportional to 9,146.72, 12,631.44 and 7,812.65 is: 10,789.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,146.72 : 12,631.44 = 7,812.65 : x
  2. Step 2: Convert to fraction form
    9,146.72/12,631.44 = 7,812.65/x
  3. Step 3: Cross multiply
    9,146.72x = 12,631.44 × 7,812.65
  4. Step 4: Simplify right side
    9,146.72x = 98,685,080.59
  5. Step 5: Solve for x
    x = 98,685,080.59/9,146.72
  6. Step 6: Final answer
    x = 10,789.12

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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.