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Finding the Fourth Proportional to 9,778.86, 13,500.68 and 6,427.28

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Solution

The fourth proportional to 9,778.86, 13,500.68 and 6,427.28 is: 8,873.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,778.86 : 13,500.68 = 6,427.28 : x
  2. Step 2: Convert to fraction form
    9,778.86/13,500.68 = 6,427.28/x
  3. Step 3: Cross multiply
    9,778.86x = 13,500.68 × 6,427.28
  4. Step 4: Simplify right side
    9,778.86x = 86,772,652.17
  5. Step 5: Solve for x
    x = 86,772,652.17/9,778.86
  6. Step 6: Final answer
    x = 8,873.49

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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.