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Finding the Fourth Proportional to 6,641.87, 9,960.50 and 2,258.28

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Solution

The fourth proportional to 6,641.87, 9,960.50 and 2,258.28 is: 3,386.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,641.87 : 9,960.50 = 2,258.28 : x
  2. Step 2: Convert to fraction form
    6,641.87/9,960.50 = 2,258.28/x
  3. Step 3: Cross multiply
    6,641.87x = 9,960.50 × 2,258.28
  4. Step 4: Simplify right side
    6,641.87x = 22,493,603.59
  5. Step 5: Solve for x
    x = 22,493,603.59/6,641.87
  6. Step 6: Final answer
    x = 3,386.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.