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Finding the Fourth Proportional to 6,901.64, 9,520.20 and 5,011

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Solution

The fourth proportional to 6,901.64, 9,520.20 and 5,011 is: 6,912.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,901.64 : 9,520.20 = 5,011 : x
  2. Step 2: Convert to fraction form
    6,901.64/9,520.20 = 5,011/x
  3. Step 3: Cross multiply
    6,901.64x = 9,520.20 × 5,011
  4. Step 4: Simplify right side
    6,901.64x = 47,705,722.20
  5. Step 5: Solve for x
    x = 47,705,722.20/6,901.64
  6. Step 6: Final answer
    x = 6,912.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.