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Finding the Fourth Proportional to 9,937.87, 13,684.21 and 9,719.17

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Solution

The fourth proportional to 9,937.87, 13,684.21 and 9,719.17 is: 13,383.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,937.87 : 13,684.21 = 9,719.17 : x
  2. Step 2: Convert to fraction form
    9,937.87/13,684.21 = 9,719.17/x
  3. Step 3: Cross multiply
    9,937.87x = 13,684.21 × 9,719.17
  4. Step 4: Simplify right side
    9,937.87x = 132,999,163.31
  5. Step 5: Solve for x
    x = 132,999,163.31/9,937.87
  6. Step 6: Final answer
    x = 13,383.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.