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Finding the Fourth Proportional to 6,325.65, 8,737.12 and 4,342.77

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Solution

The fourth proportional to 6,325.65, 8,737.12 and 4,342.77 is: 5,998.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,325.65 : 8,737.12 = 4,342.77 : x
  2. Step 2: Convert to fraction form
    6,325.65/8,737.12 = 4,342.77/x
  3. Step 3: Cross multiply
    6,325.65x = 8,737.12 × 4,342.77
  4. Step 4: Simplify right side
    6,325.65x = 37,943,302.62
  5. Step 5: Solve for x
    x = 37,943,302.62/6,325.65
  6. Step 6: Final answer
    x = 5,998.32

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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.