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Finding the Fourth Proportional to 9,375.30, 14,064.57 and 3,831.66

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Solution

The fourth proportional to 9,375.30, 14,064.57 and 3,831.66 is: 5,748.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,375.30 : 14,064.57 = 3,831.66 : x
  2. Step 2: Convert to fraction form
    9,375.30/14,064.57 = 3,831.66/x
  3. Step 3: Cross multiply
    9,375.30x = 14,064.57 × 3,831.66
  4. Step 4: Simplify right side
    9,375.30x = 53,890,650.29
  5. Step 5: Solve for x
    x = 53,890,650.29/9,375.30
  6. Step 6: Final answer
    x = 5,748.15

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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.