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Finding the Fourth Proportional to 9,338.19, 14,007.28 and 3,415.86

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Solution

The fourth proportional to 9,338.19, 14,007.28 and 3,415.86 is: 5,123.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,338.19 : 14,007.28 = 3,415.86 : x
  2. Step 2: Convert to fraction form
    9,338.19/14,007.28 = 3,415.86/x
  3. Step 3: Cross multiply
    9,338.19x = 14,007.28 × 3,415.86
  4. Step 4: Simplify right side
    9,338.19x = 47,846,907.46
  5. Step 5: Solve for x
    x = 47,846,907.46/9,338.19
  6. Step 6: Final answer
    x = 5,123.79

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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.