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Finding the Fourth Proportional to 9,667.68, 14,502.24 and 2,742.08

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Solution

The fourth proportional to 9,667.68, 14,502.24 and 2,742.08 is: 4,113.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,667.68 : 14,502.24 = 2,742.08 : x
  2. Step 2: Convert to fraction form
    9,667.68/14,502.24 = 2,742.08/x
  3. Step 3: Cross multiply
    9,667.68x = 14,502.24 × 2,742.08
  4. Step 4: Simplify right side
    9,667.68x = 39,766,302.26
  5. Step 5: Solve for x
    x = 39,766,302.26/9,667.68
  6. Step 6: Final answer
    x = 4,113.32

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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.