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Finding the Fourth Proportional to 9,767.86, 13,478.40 and 5,518.60

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Solution

The fourth proportional to 9,767.86, 13,478.40 and 5,518.60 is: 7,614.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,767.86 : 13,478.40 = 5,518.60 : x
  2. Step 2: Convert to fraction form
    9,767.86/13,478.40 = 5,518.60/x
  3. Step 3: Cross multiply
    9,767.86x = 13,478.40 × 5,518.60
  4. Step 4: Simplify right side
    9,767.86x = 74,381,864.54
  5. Step 5: Solve for x
    x = 74,381,864.54/9,767.86
  6. Step 6: Final answer
    x = 7,614.96

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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.