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Finding the Fourth Proportional to 9,958.95, 13,700.75 and 9,682.23

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Solution

The fourth proportional to 9,958.95, 13,700.75 and 9,682.23 is: 13,320.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,958.95 : 13,700.75 = 9,682.23 : x
  2. Step 2: Convert to fraction form
    9,958.95/13,700.75 = 9,682.23/x
  3. Step 3: Cross multiply
    9,958.95x = 13,700.75 × 9,682.23
  4. Step 4: Simplify right side
    9,958.95x = 132,653,815.64
  5. Step 5: Solve for x
    x = 132,653,815.64/9,958.95
  6. Step 6: Final answer
    x = 13,320.06

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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.