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Finding the Fourth Proportional to 9,191.57, 12,684.33 and 4,999.82

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Solution

The fourth proportional to 9,191.57, 12,684.33 and 4,999.82 is: 6,899.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,191.57 : 12,684.33 = 4,999.82 : x
  2. Step 2: Convert to fraction form
    9,191.57/12,684.33 = 4,999.82/x
  3. Step 3: Cross multiply
    9,191.57x = 12,684.33 × 4,999.82
  4. Step 4: Simplify right side
    9,191.57x = 63,419,303.40
  5. Step 5: Solve for x
    x = 63,419,303.40/9,191.57
  6. Step 6: Final answer
    x = 6,899.73

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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.