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Finding the Fourth Proportional to 9,347.54, 14,018.27 and 3,105.87

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Solution

The fourth proportional to 9,347.54, 14,018.27 and 3,105.87 is: 4,657.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,347.54 : 14,018.27 = 3,105.87 : x
  2. Step 2: Convert to fraction form
    9,347.54/14,018.27 = 3,105.87/x
  3. Step 3: Cross multiply
    9,347.54x = 14,018.27 × 3,105.87
  4. Step 4: Simplify right side
    9,347.54x = 43,538,933.50
  5. Step 5: Solve for x
    x = 43,538,933.50/9,347.54
  6. Step 6: Final answer
    x = 4,657.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.