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Finding the Fourth Proportional to 9,295.11, 13,944.24 and 4,615.38

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Solution

The fourth proportional to 9,295.11, 13,944.24 and 4,615.38 is: 6,923.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,295.11 : 13,944.24 = 4,615.38 : x
  2. Step 2: Convert to fraction form
    9,295.11/13,944.24 = 4,615.38/x
  3. Step 3: Cross multiply
    9,295.11x = 13,944.24 × 4,615.38
  4. Step 4: Simplify right side
    9,295.11x = 64,357,966.41
  5. Step 5: Solve for x
    x = 64,357,966.41/9,295.11
  6. Step 6: Final answer
    x = 6,923.85

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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.