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Finding the Fourth Proportional to 6,430.72, 8,875.82 and 3,912.29

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Solution

The fourth proportional to 6,430.72, 8,875.82 and 3,912.29 is: 5,399.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,430.72 : 8,875.82 = 3,912.29 : x
  2. Step 2: Convert to fraction form
    6,430.72/8,875.82 = 3,912.29/x
  3. Step 3: Cross multiply
    6,430.72x = 8,875.82 × 3,912.29
  4. Step 4: Simplify right side
    6,430.72x = 34,724,781.83
  5. Step 5: Solve for x
    x = 34,724,781.83/6,430.72
  6. Step 6: Final answer
    x = 5,399.83

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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.