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Finding the Fourth Proportional to 10,093.36, 15,149.76 and 9,456.72

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Solution

The fourth proportional to 10,093.36, 15,149.76 and 9,456.72 is: 14,194.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,093.36 : 15,149.76 = 9,456.72 : x
  2. Step 2: Convert to fraction form
    10,093.36/15,149.76 = 9,456.72/x
  3. Step 3: Cross multiply
    10,093.36x = 15,149.76 × 9,456.72
  4. Step 4: Simplify right side
    10,093.36x = 143,267,038.39
  5. Step 5: Solve for x
    x = 143,267,038.39/10,093.36
  6. Step 6: Final answer
    x = 14,194.19

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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.