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Finding the Fourth Proportional to 9,155.84, 13,667.44 and 8,471.04

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Solution

The fourth proportional to 9,155.84, 13,667.44 and 8,471.04 is: 12,645.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,155.84 : 13,667.44 = 8,471.04 : x
  2. Step 2: Convert to fraction form
    9,155.84/13,667.44 = 8,471.04/x
  3. Step 3: Cross multiply
    9,155.84x = 13,667.44 × 8,471.04
  4. Step 4: Simplify right side
    9,155.84x = 115,777,430.94
  5. Step 5: Solve for x
    x = 115,777,430.94/9,155.84
  6. Step 6: Final answer
    x = 12,645.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.