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Finding the Fourth Proportional to 9,416.67, 14,110.41 and 5,946.63

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Solution

The fourth proportional to 9,416.67, 14,110.41 and 5,946.63 is: 8,910.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,416.67 : 14,110.41 = 5,946.63 : x
  2. Step 2: Convert to fraction form
    9,416.67/14,110.41 = 5,946.63/x
  3. Step 3: Cross multiply
    9,416.67x = 14,110.41 × 5,946.63
  4. Step 4: Simplify right side
    9,416.67x = 83,909,387.42
  5. Step 5: Solve for x
    x = 83,909,387.42/9,416.67
  6. Step 6: Final answer
    x = 8,910.73

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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.