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Finding the Fourth Proportional to 6,340.81, 9,513.46 and 2,830.49

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Solution

The fourth proportional to 6,340.81, 9,513.46 and 2,830.49 is: 4,246.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,340.81 : 9,513.46 = 2,830.49 : x
  2. Step 2: Convert to fraction form
    6,340.81/9,513.46 = 2,830.49/x
  3. Step 3: Cross multiply
    6,340.81x = 9,513.46 × 2,830.49
  4. Step 4: Simplify right side
    6,340.81x = 26,927,753.40
  5. Step 5: Solve for x
    x = 26,927,753.40/6,340.81
  6. Step 6: Final answer
    x = 4,246.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.