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Finding the Fourth Proportional to 9,258.89, 12,778.29 and 5,280.98

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Solution

The fourth proportional to 9,258.89, 12,778.29 and 5,280.98 is: 7,288.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,258.89 : 12,778.29 = 5,280.98 : x
  2. Step 2: Convert to fraction form
    9,258.89/12,778.29 = 5,280.98/x
  3. Step 3: Cross multiply
    9,258.89x = 12,778.29 × 5,280.98
  4. Step 4: Simplify right side
    9,258.89x = 67,481,830.03
  5. Step 5: Solve for x
    x = 67,481,830.03/9,258.89
  6. Step 6: Final answer
    x = 7,288.33

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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.