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Finding the Fourth Proportional to 6,572.36, 9,069.54 and 3,588.20

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Solution

The fourth proportional to 6,572.36, 9,069.54 and 3,588.20 is: 4,951.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,572.36 : 9,069.54 = 3,588.20 : x
  2. Step 2: Convert to fraction form
    6,572.36/9,069.54 = 3,588.20/x
  3. Step 3: Cross multiply
    6,572.36x = 9,069.54 × 3,588.20
  4. Step 4: Simplify right side
    6,572.36x = 32,543,323.43
  5. Step 5: Solve for x
    x = 32,543,323.43/6,572.36
  6. Step 6: Final answer
    x = 4,951.54

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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.