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Finding the Fourth Proportional to 9,349.74, 14,024.73 and 2,686.45

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Solution

The fourth proportional to 9,349.74, 14,024.73 and 2,686.45 is: 4,029.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,349.74 : 14,024.73 = 2,686.45 : x
  2. Step 2: Convert to fraction form
    9,349.74/14,024.73 = 2,686.45/x
  3. Step 3: Cross multiply
    9,349.74x = 14,024.73 × 2,686.45
  4. Step 4: Simplify right side
    9,349.74x = 37,676,735.91
  5. Step 5: Solve for x
    x = 37,676,735.91/9,349.74
  6. Step 6: Final answer
    x = 4,029.71

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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.