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Finding the Fourth Proportional to 6,832.40, 9,428.55 and 3,848

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Solution

The fourth proportional to 6,832.40, 9,428.55 and 3,848 is: 5,310.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,832.40 : 9,428.55 = 3,848 : x
  2. Step 2: Convert to fraction form
    6,832.40/9,428.55 = 3,848/x
  3. Step 3: Cross multiply
    6,832.40x = 9,428.55 × 3,848
  4. Step 4: Simplify right side
    6,832.40x = 36,281,060.40
  5. Step 5: Solve for x
    x = 36,281,060.40/6,832.40
  6. Step 6: Final answer
    x = 5,310.15

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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.