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Finding the Fourth Proportional to 6,430.92, 8,876.34 and 3,637.32

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Solution

The fourth proportional to 6,430.92, 8,876.34 and 3,637.32 is: 5,020.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,430.92 : 8,876.34 = 3,637.32 : x
  2. Step 2: Convert to fraction form
    6,430.92/8,876.34 = 3,637.32/x
  3. Step 3: Cross multiply
    6,430.92x = 8,876.34 × 3,637.32
  4. Step 4: Simplify right side
    6,430.92x = 32,286,089.01
  5. Step 5: Solve for x
    x = 32,286,089.01/6,430.92
  6. Step 6: Final answer
    x = 5,020.45

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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.