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Finding the Fourth Proportional to 6,967.65, 9,615.33 and 3,823.83

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Solution

The fourth proportional to 6,967.65, 9,615.33 and 3,823.83 is: 5,276.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,967.65 : 9,615.33 = 3,823.83 : x
  2. Step 2: Convert to fraction form
    6,967.65/9,615.33 = 3,823.83/x
  3. Step 3: Cross multiply
    6,967.65x = 9,615.33 × 3,823.83
  4. Step 4: Simplify right side
    6,967.65x = 36,767,387.31
  5. Step 5: Solve for x
    x = 36,767,387.31/6,967.65
  6. Step 6: Final answer
    x = 5,276.87

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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.