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Finding the Fourth Proportional to 6,311.50, 9,468.47 and 2,848.75

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Solution

The fourth proportional to 6,311.50, 9,468.47 and 2,848.75 is: 4,273.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,311.50 : 9,468.47 = 2,848.75 : x
  2. Step 2: Convert to fraction form
    6,311.50/9,468.47 = 2,848.75/x
  3. Step 3: Cross multiply
    6,311.50x = 9,468.47 × 2,848.75
  4. Step 4: Simplify right side
    6,311.50x = 26,973,303.91
  5. Step 5: Solve for x
    x = 26,973,303.91/6,311.50
  6. Step 6: Final answer
    x = 4,273.68

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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.