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Finding the Fourth Proportional to 9,280.50, 12,801.69 and 6,449.46

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Solution

The fourth proportional to 9,280.50, 12,801.69 and 6,449.46 is: 8,896.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,280.50 : 12,801.69 = 6,449.46 : x
  2. Step 2: Convert to fraction form
    9,280.50/12,801.69 = 6,449.46/x
  3. Step 3: Cross multiply
    9,280.50x = 12,801.69 × 6,449.46
  4. Step 4: Simplify right side
    9,280.50x = 82,563,987.59
  5. Step 5: Solve for x
    x = 82,563,987.59/9,280.50
  6. Step 6: Final answer
    x = 8,896.50

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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.