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Finding the Fourth Proportional to 9,342.54, 14,013.81 and 2,416.50

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Solution

The fourth proportional to 9,342.54, 14,013.81 and 2,416.50 is: 3,624.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,342.54 : 14,013.81 = 2,416.50 : x
  2. Step 2: Convert to fraction form
    9,342.54/14,013.81 = 2,416.50/x
  3. Step 3: Cross multiply
    9,342.54x = 14,013.81 × 2,416.50
  4. Step 4: Simplify right side
    9,342.54x = 33,864,371.87
  5. Step 5: Solve for x
    x = 33,864,371.87/9,342.54
  6. Step 6: Final answer
    x = 3,624.75

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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.