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Finding the Fourth Proportional to 6,103.13, 9,147 and 4,865.45

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Solution

The fourth proportional to 6,103.13, 9,147 and 4,865.45 is: 7,292.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,103.13 : 9,147 = 4,865.45 : x
  2. Step 2: Convert to fraction form
    6,103.13/9,147 = 4,865.45/x
  3. Step 3: Cross multiply
    6,103.13x = 9,147 × 4,865.45
  4. Step 4: Simplify right side
    6,103.13x = 44,504,294.02
  5. Step 5: Solve for x
    x = 44,504,294.02/6,103.13
  6. Step 6: Final answer
    x = 7,292.04

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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.