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Finding the Fourth Proportional to 6,985.63, 9,581.11 and 6,198.31

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Solution

The fourth proportional to 6,985.63, 9,581.11 and 6,198.31 is: 8,501.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,985.63 : 9,581.11 = 6,198.31 : x
  2. Step 2: Convert to fraction form
    6,985.63/9,581.11 = 6,198.31/x
  3. Step 3: Cross multiply
    6,985.63x = 9,581.11 × 6,198.31
  4. Step 4: Simplify right side
    6,985.63x = 59,386,689.92
  5. Step 5: Solve for x
    x = 59,386,689.92/6,985.63
  6. Step 6: Final answer
    x = 8,501.26

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.