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Finding the Fourth Proportional to 9,742.41, 14,609.29 and 6,044.49

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Solution

The fourth proportional to 9,742.41, 14,609.29 and 6,044.49 is: 9,064.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,742.41 : 14,609.29 = 6,044.49 : x
  2. Step 2: Convert to fraction form
    9,742.41/14,609.29 = 6,044.49/x
  3. Step 3: Cross multiply
    9,742.41x = 14,609.29 × 6,044.49
  4. Step 4: Simplify right side
    9,742.41x = 88,305,707.31
  5. Step 5: Solve for x
    x = 88,305,707.31/9,742.41
  6. Step 6: Final answer
    x = 9,064.05

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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.