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Finding the Fourth Proportional to 9,601.38, 14,431.35 and 7,015.86

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Solution

The fourth proportional to 9,601.38, 14,431.35 and 7,015.86 is: 10,545.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,601.38 : 14,431.35 = 7,015.86 : x
  2. Step 2: Convert to fraction form
    9,601.38/14,431.35 = 7,015.86/x
  3. Step 3: Cross multiply
    9,601.38x = 14,431.35 × 7,015.86
  4. Step 4: Simplify right side
    9,601.38x = 101,248,331.21
  5. Step 5: Solve for x
    x = 101,248,331.21/9,601.38
  6. Step 6: Final answer
    x = 10,545.19

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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.