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Finding the Fourth Proportional to 9,883.68, 13,639.46 and 5,407.42

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Solution

The fourth proportional to 9,883.68, 13,639.46 and 5,407.42 is: 7,462.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,883.68 : 13,639.46 = 5,407.42 : x
  2. Step 2: Convert to fraction form
    9,883.68/13,639.46 = 5,407.42/x
  3. Step 3: Cross multiply
    9,883.68x = 13,639.46 × 5,407.42
  4. Step 4: Simplify right side
    9,883.68x = 73,754,240.66
  5. Step 5: Solve for x
    x = 73,754,240.66/9,883.68
  6. Step 6: Final answer
    x = 7,462.23

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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.