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Finding the Fourth Proportional to 6,958.89, 9,603.24 and 3,815.07

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Solution

The fourth proportional to 6,958.89, 9,603.24 and 3,815.07 is: 5,264.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,958.89 : 9,603.24 = 3,815.07 : x
  2. Step 2: Convert to fraction form
    6,958.89/9,603.24 = 3,815.07/x
  3. Step 3: Cross multiply
    6,958.89x = 9,603.24 × 3,815.07
  4. Step 4: Simplify right side
    6,958.89x = 36,637,032.83
  5. Step 5: Solve for x
    x = 36,637,032.83/6,958.89
  6. Step 6: Final answer
    x = 5,264.78

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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.