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Finding the Fourth Proportional to 9,415.82, 14,069.55 and 7,182.38

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Solution

The fourth proportional to 9,415.82, 14,069.55 and 7,182.38 is: 10,732.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,415.82 : 14,069.55 = 7,182.38 : x
  2. Step 2: Convert to fraction form
    9,415.82/14,069.55 = 7,182.38/x
  3. Step 3: Cross multiply
    9,415.82x = 14,069.55 × 7,182.38
  4. Step 4: Simplify right side
    9,415.82x = 101,052,818.62
  5. Step 5: Solve for x
    x = 101,052,818.62/9,415.82
  6. Step 6: Final answer
    x = 10,732.24

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.