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Finding the Fourth Proportional to 7,138.46, 9,841.91 and 4,616.12

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Solution

The fourth proportional to 7,138.46, 9,841.91 and 4,616.12 is: 6,364.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,138.46 : 9,841.91 = 4,616.12 : x
  2. Step 2: Convert to fraction form
    7,138.46/9,841.91 = 4,616.12/x
  3. Step 3: Cross multiply
    7,138.46x = 9,841.91 × 4,616.12
  4. Step 4: Simplify right side
    7,138.46x = 45,431,439.11
  5. Step 5: Solve for x
    x = 45,431,439.11/7,138.46
  6. Step 6: Final answer
    x = 6,364.32

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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.