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Finding the Fourth Proportional to 9,474.85, 14,209.20 and 4,476.45

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Solution

The fourth proportional to 9,474.85, 14,209.20 and 4,476.45 is: 6,713.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,474.85 : 14,209.20 = 4,476.45 : x
  2. Step 2: Convert to fraction form
    9,474.85/14,209.20 = 4,476.45/x
  3. Step 3: Cross multiply
    9,474.85x = 14,209.20 × 4,476.45
  4. Step 4: Simplify right side
    9,474.85x = 63,606,773.34
  5. Step 5: Solve for x
    x = 63,606,773.34/9,474.85
  6. Step 6: Final answer
    x = 6,713.22

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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.