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Finding the Fourth Proportional to 9,490.05, 14,221.80 and 7,400.66

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Solution

The fourth proportional to 9,490.05, 14,221.80 and 7,400.66 is: 11,090.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,490.05 : 14,221.80 = 7,400.66 : x
  2. Step 2: Convert to fraction form
    9,490.05/14,221.80 = 7,400.66/x
  3. Step 3: Cross multiply
    9,490.05x = 14,221.80 × 7,400.66
  4. Step 4: Simplify right side
    9,490.05x = 105,250,635.28
  5. Step 5: Solve for x
    x = 105,250,635.28/9,490.05
  6. Step 6: Final answer
    x = 11,090.63

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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.