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Finding the Fourth Proportional to 10,093.71, 15,106.14 and 9,217.29

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Solution

The fourth proportional to 10,093.71, 15,106.14 and 9,217.29 is: 13,794.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,093.71 : 15,106.14 = 9,217.29 : x
  2. Step 2: Convert to fraction form
    10,093.71/15,106.14 = 9,217.29/x
  3. Step 3: Cross multiply
    10,093.71x = 15,106.14 × 9,217.29
  4. Step 4: Simplify right side
    10,093.71x = 139,237,673.16
  5. Step 5: Solve for x
    x = 139,237,673.16/10,093.71
  6. Step 6: Final answer
    x = 13,794.50

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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.