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Finding the Fourth Proportional to 6,483.86, 8,947.49 and 3,970.16

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Solution

The fourth proportional to 6,483.86, 8,947.49 and 3,970.16 is: 5,478.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,483.86 : 8,947.49 = 3,970.16 : x
  2. Step 2: Convert to fraction form
    6,483.86/8,947.49 = 3,970.16/x
  3. Step 3: Cross multiply
    6,483.86x = 8,947.49 × 3,970.16
  4. Step 4: Simplify right side
    6,483.86x = 35,522,966.90
  5. Step 5: Solve for x
    x = 35,522,966.90/6,483.86
  6. Step 6: Final answer
    x = 5,478.68

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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.