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Finding the Fourth Proportional to 6,985.24, 9,640.02 and 3,842.08

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Solution

The fourth proportional to 6,985.24, 9,640.02 and 3,842.08 is: 5,302.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,985.24 : 9,640.02 = 3,842.08 : x
  2. Step 2: Convert to fraction form
    6,985.24/9,640.02 = 3,842.08/x
  3. Step 3: Cross multiply
    6,985.24x = 9,640.02 × 3,842.08
  4. Step 4: Simplify right side
    6,985.24x = 37,037,728.04
  5. Step 5: Solve for x
    x = 37,037,728.04/6,985.24
  6. Step 6: Final answer
    x = 5,302.28

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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.