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Finding the Fourth Proportional to 6,434.73, 9,653.02 and 2,924.71

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Solution

The fourth proportional to 6,434.73, 9,653.02 and 2,924.71 is: 4,387.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,434.73 : 9,653.02 = 2,924.71 : x
  2. Step 2: Convert to fraction form
    6,434.73/9,653.02 = 2,924.71/x
  3. Step 3: Cross multiply
    6,434.73x = 9,653.02 × 2,924.71
  4. Step 4: Simplify right side
    6,434.73x = 28,232,252.68
  5. Step 5: Solve for x
    x = 28,232,252.68/6,434.73
  6. Step 6: Final answer
    x = 4,387.48

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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.