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Finding the Fourth Proportional to 9,851.86, 14,778.72 and 2,831.86

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Solution

The fourth proportional to 9,851.86, 14,778.72 and 2,831.86 is: 4,248.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,851.86 : 14,778.72 = 2,831.86 : x
  2. Step 2: Convert to fraction form
    9,851.86/14,778.72 = 2,831.86/x
  3. Step 3: Cross multiply
    9,851.86x = 14,778.72 × 2,831.86
  4. Step 4: Simplify right side
    9,851.86x = 41,851,266.02
  5. Step 5: Solve for x
    x = 41,851,266.02/9,851.86
  6. Step 6: Final answer
    x = 4,248.06

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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.