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Finding the Fourth Proportional to 6,320.00, 9,472.31 and 4,471.64

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Solution

The fourth proportional to 6,320.00, 9,472.31 and 4,471.64 is: 6,702.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,320.00 : 9,472.31 = 4,471.64 : x
  2. Step 2: Convert to fraction form
    6,320.00/9,472.31 = 4,471.64/x
  3. Step 3: Cross multiply
    6,320.00x = 9,472.31 × 4,471.64
  4. Step 4: Simplify right side
    6,320.00x = 42,356,796.14
  5. Step 5: Solve for x
    x = 42,356,796.14/6,320.00
  6. Step 6: Final answer
    x = 6,702.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.