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Finding the Fourth Proportional to 6,595.31, 9,884.04 and 2,431.40

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Solution

The fourth proportional to 6,595.31, 9,884.04 and 2,431.40 is: 3,643.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,595.31 : 9,884.04 = 2,431.40 : x
  2. Step 2: Convert to fraction form
    6,595.31/9,884.04 = 2,431.40/x
  3. Step 3: Cross multiply
    6,595.31x = 9,884.04 × 2,431.40
  4. Step 4: Simplify right side
    6,595.31x = 24,032,005.44
  5. Step 5: Solve for x
    x = 24,032,005.44/6,595.31
  6. Step 6: Final answer
    x = 3,643.81

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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.