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Finding the Fourth Proportional to 9,275.90, 12,800.67 and 5,084.14

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Solution

The fourth proportional to 9,275.90, 12,800.67 and 5,084.14 is: 7,016.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,275.90 : 12,800.67 = 5,084.14 : x
  2. Step 2: Convert to fraction form
    9,275.90/12,800.67 = 5,084.14/x
  3. Step 3: Cross multiply
    9,275.90x = 12,800.67 × 5,084.14
  4. Step 4: Simplify right side
    9,275.90x = 65,080,398.37
  5. Step 5: Solve for x
    x = 65,080,398.37/9,275.90
  6. Step 6: Final answer
    x = 7,016.07

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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.