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Finding the Fourth Proportional to 9,294.16, 13,950.96 and 6,831.76

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Solution

The fourth proportional to 9,294.16, 13,950.96 and 6,831.76 is: 10,254.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,294.16 : 13,950.96 = 6,831.76 : x
  2. Step 2: Convert to fraction form
    9,294.16/13,950.96 = 6,831.76/x
  3. Step 3: Cross multiply
    9,294.16x = 13,950.96 × 6,831.76
  4. Step 4: Simplify right side
    9,294.16x = 95,309,610.49
  5. Step 5: Solve for x
    x = 95,309,610.49/9,294.16
  6. Step 6: Final answer
    x = 10,254.78

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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.