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Finding the Fourth Proportional to 9,778.26, 13,482.63 and 7,126.86

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Solution

The fourth proportional to 9,778.26, 13,482.63 and 7,126.86 is: 9,826.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,778.26 : 13,482.63 = 7,126.86 : x
  2. Step 2: Convert to fraction form
    9,778.26/13,482.63 = 7,126.86/x
  3. Step 3: Cross multiply
    9,778.26x = 13,482.63 × 7,126.86
  4. Step 4: Simplify right side
    9,778.26x = 96,088,816.44
  5. Step 5: Solve for x
    x = 96,088,816.44/9,778.26
  6. Step 6: Final answer
    x = 9,826.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.