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Finding the Fourth Proportional to 8,992.71, 12,405.29 and 5,639.31

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Solution

The fourth proportional to 8,992.71, 12,405.29 and 5,639.31 is: 7,779.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,992.71 : 12,405.29 = 5,639.31 : x
  2. Step 2: Convert to fraction form
    8,992.71/12,405.29 = 5,639.31/x
  3. Step 3: Cross multiply
    8,992.71x = 12,405.29 × 5,639.31
  4. Step 4: Simplify right side
    8,992.71x = 69,957,247.75
  5. Step 5: Solve for x
    x = 69,957,247.75/8,992.71
  6. Step 6: Final answer
    x = 7,779.33

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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.