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Finding the Fourth Proportional to 6,494.01, 8,959.74 and 3,973.46

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Solution

The fourth proportional to 6,494.01, 8,959.74 and 3,973.46 is: 5,482.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,494.01 : 8,959.74 = 3,973.46 : x
  2. Step 2: Convert to fraction form
    6,494.01/8,959.74 = 3,973.46/x
  3. Step 3: Cross multiply
    6,494.01x = 8,959.74 × 3,973.46
  4. Step 4: Simplify right side
    6,494.01x = 35,601,123.70
  5. Step 5: Solve for x
    x = 35,601,123.70/6,494.01
  6. Step 6: Final answer
    x = 5,482.15

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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.