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Finding the Fourth Proportional to 9,258.10, 12,775.86 and 5,280.50

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Solution

The fourth proportional to 9,258.10, 12,775.86 and 5,280.50 is: 7,286.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,258.10 : 12,775.86 = 5,280.50 : x
  2. Step 2: Convert to fraction form
    9,258.10/12,775.86 = 5,280.50/x
  3. Step 3: Cross multiply
    9,258.10x = 12,775.86 × 5,280.50
  4. Step 4: Simplify right side
    9,258.10x = 67,462,928.73
  5. Step 5: Solve for x
    x = 67,462,928.73/9,258.10
  6. Step 6: Final answer
    x = 7,286.91

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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.