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Finding the Fourth Proportional to 9,275.82, 12,800.76 and 5,084.10

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Solution

The fourth proportional to 9,275.82, 12,800.76 and 5,084.10 is: 7,016.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,275.82 : 12,800.76 = 5,084.10 : x
  2. Step 2: Convert to fraction form
    9,275.82/12,800.76 = 5,084.10/x
  3. Step 3: Cross multiply
    9,275.82x = 12,800.76 × 5,084.10
  4. Step 4: Simplify right side
    9,275.82x = 65,080,343.92
  5. Step 5: Solve for x
    x = 65,080,343.92/9,275.82
  6. Step 6: Final answer
    x = 7,016.13

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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.