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Finding the Fourth Proportional to 6,836.87, 9,430.49 and 4,314.53

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Solution

The fourth proportional to 6,836.87, 9,430.49 and 4,314.53 is: 5,951.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,836.87 : 9,430.49 = 4,314.53 : x
  2. Step 2: Convert to fraction form
    6,836.87/9,430.49 = 4,314.53/x
  3. Step 3: Cross multiply
    6,836.87x = 9,430.49 × 4,314.53
  4. Step 4: Simplify right side
    6,836.87x = 40,688,084.87
  5. Step 5: Solve for x
    x = 40,688,084.87/6,836.87
  6. Step 6: Final answer
    x = 5,951.28

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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.