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Finding the Fourth Proportional to 6,141.89, 8,476.17 and 4,647.22

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Solution

The fourth proportional to 6,141.89, 8,476.17 and 4,647.22 is: 6,413.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,141.89 : 8,476.17 = 4,647.22 : x
  2. Step 2: Convert to fraction form
    6,141.89/8,476.17 = 4,647.22/x
  3. Step 3: Cross multiply
    6,141.89x = 8,476.17 × 4,647.22
  4. Step 4: Simplify right side
    6,141.89x = 39,390,588.13
  5. Step 5: Solve for x
    x = 39,390,588.13/6,141.89
  6. Step 6: Final answer
    x = 6,413.43

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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.