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Finding the Fourth Proportional to 6,985.85, 9,641.63 and 4,191.89

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Solution

The fourth proportional to 6,985.85, 9,641.63 and 4,191.89 is: 5,785.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,985.85 : 9,641.63 = 4,191.89 : x
  2. Step 2: Convert to fraction form
    6,985.85/9,641.63 = 4,191.89/x
  3. Step 3: Cross multiply
    6,985.85x = 9,641.63 × 4,191.89
  4. Step 4: Simplify right side
    6,985.85x = 40,416,614.65
  5. Step 5: Solve for x
    x = 40,416,614.65/6,985.85
  6. Step 6: Final answer
    x = 5,785.50

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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.