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Finding the Fourth Proportional to 6,603.50, 9,113.10 and 3,809

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Solution

The fourth proportional to 6,603.50, 9,113.10 and 3,809 is: 5,256.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,603.50 : 9,113.10 = 3,809 : x
  2. Step 2: Convert to fraction form
    6,603.50/9,113.10 = 3,809/x
  3. Step 3: Cross multiply
    6,603.50x = 9,113.10 × 3,809
  4. Step 4: Simplify right side
    6,603.50x = 34,711,797.90
  5. Step 5: Solve for x
    x = 34,711,797.90/6,603.50
  6. Step 6: Final answer
    x = 5,256.58

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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.