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Finding the Fourth Proportional to 6,278.64, 9,397.62 and 4,634.52

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Solution

The fourth proportional to 6,278.64, 9,397.62 and 4,634.52 is: 6,936.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,278.64 : 9,397.62 = 4,634.52 : x
  2. Step 2: Convert to fraction form
    6,278.64/9,397.62 = 4,634.52/x
  3. Step 3: Cross multiply
    6,278.64x = 9,397.62 × 4,634.52
  4. Step 4: Simplify right side
    6,278.64x = 43,553,457.84
  5. Step 5: Solve for x
    x = 43,553,457.84/6,278.64
  6. Step 6: Final answer
    x = 6,936.77

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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.