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Finding the Fourth Proportional to 6,816.90, 10,225.35 and 6,147.30

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Solution

The fourth proportional to 6,816.90, 10,225.35 and 6,147.30 is: 9,220.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,816.90 : 10,225.35 = 6,147.30 : x
  2. Step 2: Convert to fraction form
    6,816.90/10,225.35 = 6,147.30/x
  3. Step 3: Cross multiply
    6,816.90x = 10,225.35 × 6,147.30
  4. Step 4: Simplify right side
    6,816.90x = 62,858,294.06
  5. Step 5: Solve for x
    x = 62,858,294.06/6,816.90
  6. Step 6: Final answer
    x = 9,220.95

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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.