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Finding the Fourth Proportional to 6,532.98, 9,009.96 and 4,408.17

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Solution

The fourth proportional to 6,532.98, 9,009.96 and 4,408.17 is: 6,079.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,532.98 : 9,009.96 = 4,408.17 : x
  2. Step 2: Convert to fraction form
    6,532.98/9,009.96 = 4,408.17/x
  3. Step 3: Cross multiply
    6,532.98x = 9,009.96 × 4,408.17
  4. Step 4: Simplify right side
    6,532.98x = 39,717,435.37
  5. Step 5: Solve for x
    x = 39,717,435.37/6,532.98
  6. Step 6: Final answer
    x = 6,079.53

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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.