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Finding the Fourth Proportional to 9,313, 13,969.52 and 2,387.56

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Solution

The fourth proportional to 9,313, 13,969.52 and 2,387.56 is: 3,581.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,313 : 13,969.52 = 2,387.56 : x
  2. Step 2: Convert to fraction form
    9,313/13,969.52 = 2,387.56/x
  3. Step 3: Cross multiply
    9,313x = 13,969.52 × 2,387.56
  4. Step 4: Simplify right side
    9,313x = 33,353,067.17
  5. Step 5: Solve for x
    x = 33,353,067.17/9,313
  6. Step 6: Final answer
    x = 3,581.35

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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.