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Finding the Fourth Proportional to 6,986.30, 9,641.16 and 3,842.50

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Solution

The fourth proportional to 6,986.30, 9,641.16 and 3,842.50 is: 5,302.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,986.30 : 9,641.16 = 3,842.50 : x
  2. Step 2: Convert to fraction form
    6,986.30/9,641.16 = 3,842.50/x
  3. Step 3: Cross multiply
    6,986.30x = 9,641.16 × 3,842.50
  4. Step 4: Simplify right side
    6,986.30x = 37,046,157.30
  5. Step 5: Solve for x
    x = 37,046,157.30/6,986.30
  6. Step 6: Final answer
    x = 5,302.69

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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.