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Finding the Fourth Proportional to 9,884.11, 13,639.78 and 5,407.76

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Solution

The fourth proportional to 9,884.11, 13,639.78 and 5,407.76 is: 7,462.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,884.11 : 13,639.78 = 5,407.76 : x
  2. Step 2: Convert to fraction form
    9,884.11/13,639.78 = 5,407.76/x
  3. Step 3: Cross multiply
    9,884.11x = 13,639.78 × 5,407.76
  4. Step 4: Simplify right side
    9,884.11x = 73,760,656.69
  5. Step 5: Solve for x
    x = 73,760,656.69/9,884.11
  6. Step 6: Final answer
    x = 7,462.55

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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.