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Finding the Fourth Proportional to 9,347.44, 14,018.13 and 3,105.78

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Solution

The fourth proportional to 9,347.44, 14,018.13 and 3,105.78 is: 4,657.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,347.44 : 14,018.13 = 3,105.78 : x
  2. Step 2: Convert to fraction form
    9,347.44/14,018.13 = 3,105.78/x
  3. Step 3: Cross multiply
    9,347.44x = 14,018.13 × 3,105.78
  4. Step 4: Simplify right side
    9,347.44x = 43,537,182.54
  5. Step 5: Solve for x
    x = 43,537,182.54/9,347.44
  6. Step 6: Final answer
    x = 4,657.66

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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.