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Finding the Fourth Proportional to 7,146.92, 9,863.34 and 4,003.40

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Solution

The fourth proportional to 7,146.92, 9,863.34 and 4,003.40 is: 5,525.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,146.92 : 9,863.34 = 4,003.40 : x
  2. Step 2: Convert to fraction form
    7,146.92/9,863.34 = 4,003.40/x
  3. Step 3: Cross multiply
    7,146.92x = 9,863.34 × 4,003.40
  4. Step 4: Simplify right side
    7,146.92x = 39,486,895.36
  5. Step 5: Solve for x
    x = 39,486,895.36/7,146.92
  6. Step 6: Final answer
    x = 5,525.02

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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.