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Finding the Fourth Proportional to 9,867.73, 14,802.38 and 3,293.92

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Solution

The fourth proportional to 9,867.73, 14,802.38 and 3,293.92 is: 4,941.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,867.73 : 14,802.38 = 3,293.92 : x
  2. Step 2: Convert to fraction form
    9,867.73/14,802.38 = 3,293.92/x
  3. Step 3: Cross multiply
    9,867.73x = 14,802.38 × 3,293.92
  4. Step 4: Simplify right side
    9,867.73x = 48,757,855.53
  5. Step 5: Solve for x
    x = 48,757,855.53/9,867.73
  6. Step 6: Final answer
    x = 4,941.14

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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.