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Finding the Fourth Proportional to 6,311.93, 9,456.35 and 5,325.14

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Solution

The fourth proportional to 6,311.93, 9,456.35 and 5,325.14 is: 7,977.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,311.93 : 9,456.35 = 5,325.14 : x
  2. Step 2: Convert to fraction form
    6,311.93/9,456.35 = 5,325.14/x
  3. Step 3: Cross multiply
    6,311.93x = 9,456.35 × 5,325.14
  4. Step 4: Simplify right side
    6,311.93x = 50,356,384.65
  5. Step 5: Solve for x
    x = 50,356,384.65/6,311.93
  6. Step 6: Final answer
    x = 7,977.98

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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.