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Finding the Fourth Proportional to 9,021.72, 13,532.72 and 3,178.40

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Solution

The fourth proportional to 9,021.72, 13,532.72 and 3,178.40 is: 4,767.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,021.72 : 13,532.72 = 3,178.40 : x
  2. Step 2: Convert to fraction form
    9,021.72/13,532.72 = 3,178.40/x
  3. Step 3: Cross multiply
    9,021.72x = 13,532.72 × 3,178.40
  4. Step 4: Simplify right side
    9,021.72x = 43,012,397.25
  5. Step 5: Solve for x
    x = 43,012,397.25/9,021.72
  6. Step 6: Final answer
    x = 4,767.65

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