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Finding the Fourth Proportional to 6,103, 9,154.95 and 4,469.86

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Solution

The fourth proportional to 6,103, 9,154.95 and 4,469.86 is: 6,705.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,103 : 9,154.95 = 4,469.86 : x
  2. Step 2: Convert to fraction form
    6,103/9,154.95 = 4,469.86/x
  3. Step 3: Cross multiply
    6,103x = 9,154.95 × 4,469.86
  4. Step 4: Simplify right side
    6,103x = 40,921,344.81
  5. Step 5: Solve for x
    x = 40,921,344.81/6,103
  6. Step 6: Final answer
    x = 6,705.12

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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.