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Finding the Fourth Proportional to 6,493.14, 9,730.13 and 2,974.47

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Solution

The fourth proportional to 6,493.14, 9,730.13 and 2,974.47 is: 4,457.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,493.14 : 9,730.13 = 2,974.47 : x
  2. Step 2: Convert to fraction form
    6,493.14/9,730.13 = 2,974.47/x
  3. Step 3: Cross multiply
    6,493.14x = 9,730.13 × 2,974.47
  4. Step 4: Simplify right side
    6,493.14x = 28,941,928.42
  5. Step 5: Solve for x
    x = 28,941,928.42/6,493.14
  6. Step 6: Final answer
    x = 4,457.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.