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Finding the Fourth Proportional to 9,287.44, 12,816.90 and 5,095.69

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Solution

The fourth proportional to 9,287.44, 12,816.90 and 5,095.69 is: 7,032.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,287.44 : 12,816.90 = 5,095.69 : x
  2. Step 2: Convert to fraction form
    9,287.44/12,816.90 = 5,095.69/x
  3. Step 3: Cross multiply
    9,287.44x = 12,816.90 × 5,095.69
  4. Step 4: Simplify right side
    9,287.44x = 65,310,917.12
  5. Step 5: Solve for x
    x = 65,310,917.12/9,287.44
  6. Step 6: Final answer
    x = 7,032.18

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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.