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Finding the Fourth Proportional to 6,472.98, 9,705.56 and 4,223.20

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Solution

The fourth proportional to 6,472.98, 9,705.56 and 4,223.20 is: 6,332.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,472.98 : 9,705.56 = 4,223.20 : x
  2. Step 2: Convert to fraction form
    6,472.98/9,705.56 = 4,223.20/x
  3. Step 3: Cross multiply
    6,472.98x = 9,705.56 × 4,223.20
  4. Step 4: Simplify right side
    6,472.98x = 40,988,520.99
  5. Step 5: Solve for x
    x = 40,988,520.99/6,472.98
  6. Step 6: Final answer
    x = 6,332.25

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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.