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Finding the Fourth Proportional to 9,756.92, 13,464.78 and 5,565.08

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Solution

The fourth proportional to 9,756.92, 13,464.78 and 5,565.08 is: 7,679.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,756.92 : 13,464.78 = 5,565.08 : x
  2. Step 2: Convert to fraction form
    9,756.92/13,464.78 = 5,565.08/x
  3. Step 3: Cross multiply
    9,756.92x = 13,464.78 × 5,565.08
  4. Step 4: Simplify right side
    9,756.92x = 74,932,577.88
  5. Step 5: Solve for x
    x = 74,932,577.88/9,756.92
  6. Step 6: Final answer
    x = 7,679.94

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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.