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Finding the Fourth Proportional to 9,470.66, 14,202.92 and 4,472.26

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Solution

The fourth proportional to 9,470.66, 14,202.92 and 4,472.26 is: 6,706.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,470.66 : 14,202.92 = 4,472.26 : x
  2. Step 2: Convert to fraction form
    9,470.66/14,202.92 = 4,472.26/x
  3. Step 3: Cross multiply
    9,470.66x = 14,202.92 × 4,472.26
  4. Step 4: Simplify right side
    9,470.66x = 63,519,193.99
  5. Step 5: Solve for x
    x = 63,519,193.99/9,470.66
  6. Step 6: Final answer
    x = 6,706.94

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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.