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Finding the Fourth Proportional to 6,985.88, 9,640.52 and 3,842.07

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Solution

The fourth proportional to 6,985.88, 9,640.52 and 3,842.07 is: 5,302.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,985.88 : 9,640.52 = 3,842.07 : x
  2. Step 2: Convert to fraction form
    6,985.88/9,640.52 = 3,842.07/x
  3. Step 3: Cross multiply
    6,985.88x = 9,640.52 × 3,842.07
  4. Step 4: Simplify right side
    6,985.88x = 37,039,552.68
  5. Step 5: Solve for x
    x = 37,039,552.68/6,985.88
  6. Step 6: Final answer
    x = 5,302.06

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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.