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Finding the Fourth Proportional to 9,078.71, 13,618.94 and 3,532.50

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Solution

The fourth proportional to 9,078.71, 13,618.94 and 3,532.50 is: 5,299.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,078.71 : 13,618.94 = 3,532.50 : x
  2. Step 2: Convert to fraction form
    9,078.71/13,618.94 = 3,532.50/x
  3. Step 3: Cross multiply
    9,078.71x = 13,618.94 × 3,532.50
  4. Step 4: Simplify right side
    9,078.71x = 48,108,887.89
  5. Step 5: Solve for x
    x = 48,108,887.89/9,078.71
  6. Step 6: Final answer
    x = 5,299.09

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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.