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Finding the Fourth Proportional to 7,143.16, 9,855.66 and 4,626.04

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Solution

The fourth proportional to 7,143.16, 9,855.66 and 4,626.04 is: 6,382.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,143.16 : 9,855.66 = 4,626.04 : x
  2. Step 2: Convert to fraction form
    7,143.16/9,855.66 = 4,626.04/x
  3. Step 3: Cross multiply
    7,143.16x = 9,855.66 × 4,626.04
  4. Step 4: Simplify right side
    7,143.16x = 45,592,677.39
  5. Step 5: Solve for x
    x = 45,592,677.39/7,143.16
  6. Step 6: Final answer
    x = 6,382.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.