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Finding the Fourth Proportional to 6,103.70, 9,166.35 and 4,462.10

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Solution

The fourth proportional to 6,103.70, 9,166.35 and 4,462.10 is: 6,701.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,103.70 : 9,166.35 = 4,462.10 : x
  2. Step 2: Convert to fraction form
    6,103.70/9,166.35 = 4,462.10/x
  3. Step 3: Cross multiply
    6,103.70x = 9,166.35 × 4,462.10
  4. Step 4: Simplify right side
    6,103.70x = 40,901,170.34
  5. Step 5: Solve for x
    x = 40,901,170.34/6,103.70
  6. Step 6: Final answer
    x = 6,701.05

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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.