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Finding the Fourth Proportional to 9,587.97, 14,361.15 and 4,647.24

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Solution

The fourth proportional to 9,587.97, 14,361.15 and 4,647.24 is: 6,960.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,587.97 : 14,361.15 = 4,647.24 : x
  2. Step 2: Convert to fraction form
    9,587.97/14,361.15 = 4,647.24/x
  3. Step 3: Cross multiply
    9,587.97x = 14,361.15 × 4,647.24
  4. Step 4: Simplify right side
    9,587.97x = 66,739,710.73
  5. Step 5: Solve for x
    x = 66,739,710.73/9,587.97
  6. Step 6: Final answer
    x = 6,960.78

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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.