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Finding the Fourth Proportional to 9,259.74, 12,778.46 and 5,280.75

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Solution

The fourth proportional to 9,259.74, 12,778.46 and 5,280.75 is: 7,287.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,259.74 : 12,778.46 = 5,280.75 : x
  2. Step 2: Convert to fraction form
    9,259.74/12,778.46 = 5,280.75/x
  3. Step 3: Cross multiply
    9,259.74x = 12,778.46 × 5,280.75
  4. Step 4: Simplify right side
    9,259.74x = 67,479,826.24
  5. Step 5: Solve for x
    x = 67,479,826.24/9,259.74
  6. Step 6: Final answer
    x = 7,287.44

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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.