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Finding the Fourth Proportional to 9,266.63, 13,903.80 and 3,723.92

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Solution

The fourth proportional to 9,266.63, 13,903.80 and 3,723.92 is: 5,587.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,266.63 : 13,903.80 = 3,723.92 : x
  2. Step 2: Convert to fraction form
    9,266.63/13,903.80 = 3,723.92/x
  3. Step 3: Cross multiply
    9,266.63x = 13,903.80 × 3,723.92
  4. Step 4: Simplify right side
    9,266.63x = 51,776,569.38
  5. Step 5: Solve for x
    x = 51,776,569.38/9,266.63
  6. Step 6: Final answer
    x = 5,587.42

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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.