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Finding the Fourth Proportional to 6,432.94, 9,597.43 and 5,497.66

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Solution

The fourth proportional to 6,432.94, 9,597.43 and 5,497.66 is: 8,202.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,432.94 : 9,597.43 = 5,497.66 : x
  2. Step 2: Convert to fraction form
    6,432.94/9,597.43 = 5,497.66/x
  3. Step 3: Cross multiply
    6,432.94x = 9,597.43 × 5,497.66
  4. Step 4: Simplify right side
    6,432.94x = 52,763,379.53
  5. Step 5: Solve for x
    x = 52,763,379.53/6,432.94
  6. Step 6: Final answer
    x = 8,202.06

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.