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Finding the Fourth Proportional to 6,499.54, 8,970.06 and 3,983.32

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Solution

The fourth proportional to 6,499.54, 8,970.06 and 3,983.32 is: 5,497.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,499.54 : 8,970.06 = 3,983.32 : x
  2. Step 2: Convert to fraction form
    6,499.54/8,970.06 = 3,983.32/x
  3. Step 3: Cross multiply
    6,499.54x = 8,970.06 × 3,983.32
  4. Step 4: Simplify right side
    6,499.54x = 35,730,619.40
  5. Step 5: Solve for x
    x = 35,730,619.40/6,499.54
  6. Step 6: Final answer
    x = 5,497.41

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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.