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Finding the Fourth Proportional to 6,197.35, 8,569.17 and 6,097.20

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Solution

The fourth proportional to 6,197.35, 8,569.17 and 6,097.20 is: 8,430.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,197.35 : 8,569.17 = 6,097.20 : x
  2. Step 2: Convert to fraction form
    6,197.35/8,569.17 = 6,097.20/x
  3. Step 3: Cross multiply
    6,197.35x = 8,569.17 × 6,097.20
  4. Step 4: Simplify right side
    6,197.35x = 52,247,943.32
  5. Step 5: Solve for x
    x = 52,247,943.32/6,197.35
  6. Step 6: Final answer
    x = 8,430.69

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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.