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Finding the Fourth Proportional to 9,313.88, 13,969.38 and 3,074

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Solution

The fourth proportional to 9,313.88, 13,969.38 and 3,074 is: 4,610.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,313.88 : 13,969.38 = 3,074 : x
  2. Step 2: Convert to fraction form
    9,313.88/13,969.38 = 3,074/x
  3. Step 3: Cross multiply
    9,313.88x = 13,969.38 × 3,074
  4. Step 4: Simplify right side
    9,313.88x = 42,941,874.12
  5. Step 5: Solve for x
    x = 42,941,874.12/9,313.88
  6. Step 6: Final answer
    x = 4,610.52

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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.