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Finding the Fourth Proportional to 6,948.35, 9,586.35 and 3,962.03

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Solution

The fourth proportional to 6,948.35, 9,586.35 and 3,962.03 is: 5,466.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,948.35 : 9,586.35 = 3,962.03 : x
  2. Step 2: Convert to fraction form
    6,948.35/9,586.35 = 3,962.03/x
  3. Step 3: Cross multiply
    6,948.35x = 9,586.35 × 3,962.03
  4. Step 4: Simplify right side
    6,948.35x = 37,981,406.29
  5. Step 5: Solve for x
    x = 37,981,406.29/6,948.35
  6. Step 6: Final answer
    x = 5,466.25

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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.