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Finding the Fourth Proportional to 6,438.84, 9,659.40 and 2,976

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Solution

The fourth proportional to 6,438.84, 9,659.40 and 2,976 is: 4,464.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,438.84 : 9,659.40 = 2,976 : x
  2. Step 2: Convert to fraction form
    6,438.84/9,659.40 = 2,976/x
  3. Step 3: Cross multiply
    6,438.84x = 9,659.40 × 2,976
  4. Step 4: Simplify right side
    6,438.84x = 28,746,374.40
  5. Step 5: Solve for x
    x = 28,746,374.40/6,438.84
  6. Step 6: Final answer
    x = 4,464.53

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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.