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Finding the Fourth Proportional to 6,347.76, 9,521.58 and 2,449.44

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Solution

The fourth proportional to 6,347.76, 9,521.58 and 2,449.44 is: 3,674.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,347.76 : 9,521.58 = 2,449.44 : x
  2. Step 2: Convert to fraction form
    6,347.76/9,521.58 = 2,449.44/x
  3. Step 3: Cross multiply
    6,347.76x = 9,521.58 × 2,449.44
  4. Step 4: Simplify right side
    6,347.76x = 23,322,538.92
  5. Step 5: Solve for x
    x = 23,322,538.92/6,347.76
  6. Step 6: Final answer
    x = 3,674.14

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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.