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Finding the Fourth Proportional to 6,155.89, 9,223.35 and 4,177.26

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Solution

The fourth proportional to 6,155.89, 9,223.35 and 4,177.26 is: 6,258.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,155.89 : 9,223.35 = 4,177.26 : x
  2. Step 2: Convert to fraction form
    6,155.89/9,223.35 = 4,177.26/x
  3. Step 3: Cross multiply
    6,155.89x = 9,223.35 × 4,177.26
  4. Step 4: Simplify right side
    6,155.89x = 38,528,331.02
  5. Step 5: Solve for x
    x = 38,528,331.02/6,155.89
  6. Step 6: Final answer
    x = 6,258.78

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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.