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Finding the Fourth Proportional to 6,375.46, 9,533.83 and 6,064.42

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Solution

The fourth proportional to 6,375.46, 9,533.83 and 6,064.42 is: 9,068.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,375.46 : 9,533.83 = 6,064.42 : x
  2. Step 2: Convert to fraction form
    6,375.46/9,533.83 = 6,064.42/x
  3. Step 3: Cross multiply
    6,375.46x = 9,533.83 × 6,064.42
  4. Step 4: Simplify right side
    6,375.46x = 57,817,149.33
  5. Step 5: Solve for x
    x = 57,817,149.33/6,375.46
  6. Step 6: Final answer
    x = 9,068.70

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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.