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Finding the Fourth Proportional to 9,427.76, 13,004.56 and 6,778.76

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Solution

The fourth proportional to 9,427.76, 13,004.56 and 6,778.76 is: 9,350.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,427.76 : 13,004.56 = 6,778.76 : x
  2. Step 2: Convert to fraction form
    9,427.76/13,004.56 = 6,778.76/x
  3. Step 3: Cross multiply
    9,427.76x = 13,004.56 × 6,778.76
  4. Step 4: Simplify right side
    9,427.76x = 88,154,791.15
  5. Step 5: Solve for x
    x = 88,154,791.15/9,427.76
  6. Step 6: Final answer
    x = 9,350.56

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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.