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Finding the Fourth Proportional to 9,879.40, 14,788.86 and 9,240.04

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Solution

The fourth proportional to 9,879.40, 14,788.86 and 9,240.04 is: 13,831.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,879.40 : 14,788.86 = 9,240.04 : x
  2. Step 2: Convert to fraction form
    9,879.40/14,788.86 = 9,240.04/x
  3. Step 3: Cross multiply
    9,879.40x = 14,788.86 × 9,240.04
  4. Step 4: Simplify right side
    9,879.40x = 136,649,657.95
  5. Step 5: Solve for x
    x = 136,649,657.95/9,879.40
  6. Step 6: Final answer
    x = 13,831.78

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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.