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Finding the Fourth Proportional to 6,730.32, 9,288.14 and 3,897.82

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Solution

The fourth proportional to 6,730.32, 9,288.14 and 3,897.82 is: 5,379.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,730.32 : 9,288.14 = 3,897.82 : x
  2. Step 2: Convert to fraction form
    6,730.32/9,288.14 = 3,897.82/x
  3. Step 3: Cross multiply
    6,730.32x = 9,288.14 × 3,897.82
  4. Step 4: Simplify right side
    6,730.32x = 36,203,484.38
  5. Step 5: Solve for x
    x = 36,203,484.38/6,730.32
  6. Step 6: Final answer
    x = 5,379.16

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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.