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Finding the Fourth Proportional to 6,590.46, 9,096.91 and 4,073.69

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Solution

The fourth proportional to 6,590.46, 9,096.91 and 4,073.69 is: 5,622.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,590.46 : 9,096.91 = 4,073.69 : x
  2. Step 2: Convert to fraction form
    6,590.46/9,096.91 = 4,073.69/x
  3. Step 3: Cross multiply
    6,590.46x = 9,096.91 × 4,073.69
  4. Step 4: Simplify right side
    6,590.46x = 37,058,003.86
  5. Step 5: Solve for x
    x = 37,058,003.86/6,590.46
  6. Step 6: Final answer
    x = 5,622.97

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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.