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Finding the Fourth Proportional to 6,311.15, 9,468.08 and 1,928.46

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Solution

The fourth proportional to 6,311.15, 9,468.08 and 1,928.46 is: 2,893.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,311.15 : 9,468.08 = 1,928.46 : x
  2. Step 2: Convert to fraction form
    6,311.15/9,468.08 = 1,928.46/x
  3. Step 3: Cross multiply
    6,311.15x = 9,468.08 × 1,928.46
  4. Step 4: Simplify right side
    6,311.15x = 18,258,803.91
  5. Step 5: Solve for x
    x = 18,258,803.91/6,311.15
  6. Step 6: Final answer
    x = 2,893.10

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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.