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Finding the Fourth Proportional to 6,340.81, 9,513.47 and 2,830.50

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Solution

The fourth proportional to 6,340.81, 9,513.47 and 2,830.50 is: 4,246.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,340.81 : 9,513.47 = 2,830.50 : x
  2. Step 2: Convert to fraction form
    6,340.81/9,513.47 = 2,830.50/x
  3. Step 3: Cross multiply
    6,340.81x = 9,513.47 × 2,830.50
  4. Step 4: Simplify right side
    6,340.81x = 26,927,876.84
  5. Step 5: Solve for x
    x = 26,927,876.84/6,340.81
  6. Step 6: Final answer
    x = 4,246.76

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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.