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Finding the Fourth Proportional to 9,497.43, 14,248.31 and 2,924.55

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Solution

The fourth proportional to 9,497.43, 14,248.31 and 2,924.55 is: 4,387.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,497.43 : 14,248.31 = 2,924.55 : x
  2. Step 2: Convert to fraction form
    9,497.43/14,248.31 = 2,924.55/x
  3. Step 3: Cross multiply
    9,497.43x = 14,248.31 × 2,924.55
  4. Step 4: Simplify right side
    9,497.43x = 41,669,880.39
  5. Step 5: Solve for x
    x = 41,669,880.39/9,497.43
  6. Step 6: Final answer
    x = 4,387.49

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Why These Related Problems?

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