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Finding the Fourth Proportional to 6,572.14, 9,069.69 and 3,588.10

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Solution

The fourth proportional to 6,572.14, 9,069.69 and 3,588.10 is: 4,951.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,572.14 : 9,069.69 = 3,588.10 : x
  2. Step 2: Convert to fraction form
    6,572.14/9,069.69 = 3,588.10/x
  3. Step 3: Cross multiply
    6,572.14x = 9,069.69 × 3,588.10
  4. Step 4: Simplify right side
    6,572.14x = 32,542,902.74
  5. Step 5: Solve for x
    x = 32,542,902.74/6,572.14
  6. Step 6: Final answer
    x = 4,951.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.