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Finding the Fourth Proportional to 9,945.76, 13,719.42 and 5,964.55

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Solution

The fourth proportional to 9,945.76, 13,719.42 and 5,964.55 is: 8,227.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,945.76 : 13,719.42 = 5,964.55 : x
  2. Step 2: Convert to fraction form
    9,945.76/13,719.42 = 5,964.55/x
  3. Step 3: Cross multiply
    9,945.76x = 13,719.42 × 5,964.55
  4. Step 4: Simplify right side
    9,945.76x = 81,830,166.56
  5. Step 5: Solve for x
    x = 81,830,166.56/9,945.76
  6. Step 6: Final answer
    x = 8,227.64

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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.