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Finding the Fourth Proportional to 6,949.94, 9,592.17 and 4,432.81

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Solution

The fourth proportional to 6,949.94, 9,592.17 and 4,432.81 is: 6,118.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,949.94 : 9,592.17 = 4,432.81 : x
  2. Step 2: Convert to fraction form
    6,949.94/9,592.17 = 4,432.81/x
  3. Step 3: Cross multiply
    6,949.94x = 9,592.17 × 4,432.81
  4. Step 4: Simplify right side
    6,949.94x = 42,520,269.41
  5. Step 5: Solve for x
    x = 42,520,269.41/6,949.94
  6. Step 6: Final answer
    x = 6,118.08

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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.