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Finding the Fourth Proportional to 9,406.38, 14,118.75 and 4,479.42

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Solution

The fourth proportional to 9,406.38, 14,118.75 and 4,479.42 is: 6,723.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,406.38 : 14,118.75 = 4,479.42 : x
  2. Step 2: Convert to fraction form
    9,406.38/14,118.75 = 4,479.42/x
  3. Step 3: Cross multiply
    9,406.38x = 14,118.75 × 4,479.42
  4. Step 4: Simplify right side
    9,406.38x = 63,243,811.13
  5. Step 5: Solve for x
    x = 63,243,811.13/9,406.38
  6. Step 6: Final answer
    x = 6,723.50

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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.