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Finding the Fourth Proportional to 8,283.83, 12,430.38 and 6,438.65

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Solution

The fourth proportional to 8,283.83, 12,430.38 and 6,438.65 is: 9,661.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,283.83 : 12,430.38 = 6,438.65 : x
  2. Step 2: Convert to fraction form
    8,283.83/12,430.38 = 6,438.65/x
  3. Step 3: Cross multiply
    8,283.83x = 12,430.38 × 6,438.65
  4. Step 4: Simplify right side
    8,283.83x = 80,034,866.19
  5. Step 5: Solve for x
    x = 80,034,866.19/8,283.83
  6. Step 6: Final answer
    x = 9,661.58

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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.