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Finding the Fourth Proportional to 9,283.68, 13,921.20 and 4,083.48

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Solution

The fourth proportional to 9,283.68, 13,921.20 and 4,083.48 is: 6,123.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,283.68 : 13,921.20 = 4,083.48 : x
  2. Step 2: Convert to fraction form
    9,283.68/13,921.20 = 4,083.48/x
  3. Step 3: Cross multiply
    9,283.68x = 13,921.20 × 4,083.48
  4. Step 4: Simplify right side
    9,283.68x = 56,846,941.78
  5. Step 5: Solve for x
    x = 56,846,941.78/9,283.68
  6. Step 6: Final answer
    x = 6,123.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.