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Finding the Fourth Proportional to 6,985.63, 9,640.37 and 3,842.02

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Solution

The fourth proportional to 6,985.63, 9,640.37 and 3,842.02 is: 5,302.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,985.63 : 9,640.37 = 3,842.02 : x
  2. Step 2: Convert to fraction form
    6,985.63/9,640.37 = 3,842.02/x
  3. Step 3: Cross multiply
    6,985.63x = 9,640.37 × 3,842.02
  4. Step 4: Simplify right side
    6,985.63x = 37,038,426.94
  5. Step 5: Solve for x
    x = 37,038,426.94/6,985.63
  6. Step 6: Final answer
    x = 5,302.09

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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.