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Finding the Fourth Proportional to 8,193.40, 12,288.92 and 4,032.32

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Solution

The fourth proportional to 8,193.40, 12,288.92 and 4,032.32 is: 6,047.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,193.40 : 12,288.92 = 4,032.32 : x
  2. Step 2: Convert to fraction form
    8,193.40/12,288.92 = 4,032.32/x
  3. Step 3: Cross multiply
    8,193.40x = 12,288.92 × 4,032.32
  4. Step 4: Simplify right side
    8,193.40x = 49,552,857.89
  5. Step 5: Solve for x
    x = 49,552,857.89/8,193.40
  6. Step 6: Final answer
    x = 6,047.90

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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.