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Finding the Fourth Proportional to 6,735.59, 9,294.53 and 3,902.06

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Solution

The fourth proportional to 6,735.59, 9,294.53 and 3,902.06 is: 5,384.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,735.59 : 9,294.53 = 3,902.06 : x
  2. Step 2: Convert to fraction form
    6,735.59/9,294.53 = 3,902.06/x
  3. Step 3: Cross multiply
    6,735.59x = 9,294.53 × 3,902.06
  4. Step 4: Simplify right side
    6,735.59x = 36,267,817.46
  5. Step 5: Solve for x
    x = 36,267,817.46/6,735.59
  6. Step 6: Final answer
    x = 5,384.50

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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.