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Finding the Fourth Proportional to 9,293.78, 13,942.87 and 3,053.81

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Solution

The fourth proportional to 9,293.78, 13,942.87 and 3,053.81 is: 4,581.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,293.78 : 13,942.87 = 3,053.81 : x
  2. Step 2: Convert to fraction form
    9,293.78/13,942.87 = 3,053.81/x
  3. Step 3: Cross multiply
    9,293.78x = 13,942.87 × 3,053.81
  4. Step 4: Simplify right side
    9,293.78x = 42,578,903.06
  5. Step 5: Solve for x
    x = 42,578,903.06/9,293.78
  6. Step 6: Final answer
    x = 4,581.44

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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.