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Finding the Fourth Proportional to 6,328.72, 8,731.32 and 3,970

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Solution

The fourth proportional to 6,328.72, 8,731.32 and 3,970 is: 5,477.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,328.72 : 8,731.32 = 3,970 : x
  2. Step 2: Convert to fraction form
    6,328.72/8,731.32 = 3,970/x
  3. Step 3: Cross multiply
    6,328.72x = 8,731.32 × 3,970
  4. Step 4: Simplify right side
    6,328.72x = 34,663,340.40
  5. Step 5: Solve for x
    x = 34,663,340.40/6,328.72
  6. Step 6: Final answer
    x = 5,477.15

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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.