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Finding the Fourth Proportional to 9,249.16, 13,875.66 and 3,093

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Solution

The fourth proportional to 9,249.16, 13,875.66 and 3,093 is: 4,640.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,249.16 : 13,875.66 = 3,093 : x
  2. Step 2: Convert to fraction form
    9,249.16/13,875.66 = 3,093/x
  3. Step 3: Cross multiply
    9,249.16x = 13,875.66 × 3,093
  4. Step 4: Simplify right side
    9,249.16x = 42,917,416.38
  5. Step 5: Solve for x
    x = 42,917,416.38/9,249.16
  6. Step 6: Final answer
    x = 4,640.14

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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.