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Finding the Fourth Proportional to 9,259.89, 12,778.32 and 5,282.28

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Solution

The fourth proportional to 9,259.89, 12,778.32 and 5,282.28 is: 7,289.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,259.89 : 12,778.32 = 5,282.28 : x
  2. Step 2: Convert to fraction form
    9,259.89/12,778.32 = 5,282.28/x
  3. Step 3: Cross multiply
    9,259.89x = 12,778.32 × 5,282.28
  4. Step 4: Simplify right side
    9,259.89x = 67,498,664.17
  5. Step 5: Solve for x
    x = 67,498,664.17/9,259.89
  6. Step 6: Final answer
    x = 7,289.36

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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.