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Finding the Fourth Proportional to 9,598.22, 13,240.87 and 6,194.30

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Solution

The fourth proportional to 9,598.22, 13,240.87 and 6,194.30 is: 8,545.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,598.22 : 13,240.87 = 6,194.30 : x
  2. Step 2: Convert to fraction form
    9,598.22/13,240.87 = 6,194.30/x
  3. Step 3: Cross multiply
    9,598.22x = 13,240.87 × 6,194.30
  4. Step 4: Simplify right side
    9,598.22x = 82,017,921.04
  5. Step 5: Solve for x
    x = 82,017,921.04/9,598.22
  6. Step 6: Final answer
    x = 8,545.12

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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.