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Finding the Fourth Proportional to 9,287.33, 13,917.90 and 5,129.21

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Solution

The fourth proportional to 9,287.33, 13,917.90 and 5,129.21 is: 7,686.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,287.33 : 13,917.90 = 5,129.21 : x
  2. Step 2: Convert to fraction form
    9,287.33/13,917.90 = 5,129.21/x
  3. Step 3: Cross multiply
    9,287.33x = 13,917.90 × 5,129.21
  4. Step 4: Simplify right side
    9,287.33x = 71,387,831.86
  5. Step 5: Solve for x
    x = 71,387,831.86/9,287.33
  6. Step 6: Final answer
    x = 7,686.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.