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Finding the Fourth Proportional to 6,211.57, 9,320.43 and 4,575.37

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Solution

The fourth proportional to 6,211.57, 9,320.43 and 4,575.37 is: 6,865.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,211.57 : 9,320.43 = 4,575.37 : x
  2. Step 2: Convert to fraction form
    6,211.57/9,320.43 = 4,575.37/x
  3. Step 3: Cross multiply
    6,211.57x = 9,320.43 × 4,575.37
  4. Step 4: Simplify right side
    6,211.57x = 42,644,415.81
  5. Step 5: Solve for x
    x = 42,644,415.81/6,211.57
  6. Step 6: Final answer
    x = 6,865.32

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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.