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Finding the Fourth Proportional to 9,416.74, 14,122.63 and 4,476.55

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Solution

The fourth proportional to 9,416.74, 14,122.63 and 4,476.55 is: 6,713.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,416.74 : 14,122.63 = 4,476.55 : x
  2. Step 2: Convert to fraction form
    9,416.74/14,122.63 = 4,476.55/x
  3. Step 3: Cross multiply
    9,416.74x = 14,122.63 × 4,476.55
  4. Step 4: Simplify right side
    9,416.74x = 63,220,659.33
  5. Step 5: Solve for x
    x = 63,220,659.33/9,416.74
  6. Step 6: Final answer
    x = 6,713.65

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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.