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Finding the Fourth Proportional to 9,094.74, 13,642.29 and 3,900.66

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Solution

The fourth proportional to 9,094.74, 13,642.29 and 3,900.66 is: 5,851.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,094.74 : 13,642.29 = 3,900.66 : x
  2. Step 2: Convert to fraction form
    9,094.74/13,642.29 = 3,900.66/x
  3. Step 3: Cross multiply
    9,094.74x = 13,642.29 × 3,900.66
  4. Step 4: Simplify right side
    9,094.74x = 53,213,934.91
  5. Step 5: Solve for x
    x = 53,213,934.91/9,094.74
  6. Step 6: Final answer
    x = 5,851.07

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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.