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Finding the Fourth Proportional to 7,150.94, 9,868.28 and 4,007.14

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Solution

The fourth proportional to 7,150.94, 9,868.28 and 4,007.14 is: 5,529.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,150.94 : 9,868.28 = 4,007.14 : x
  2. Step 2: Convert to fraction form
    7,150.94/9,868.28 = 4,007.14/x
  3. Step 3: Cross multiply
    7,150.94x = 9,868.28 × 4,007.14
  4. Step 4: Simplify right side
    7,150.94x = 39,543,579.52
  5. Step 5: Solve for x
    x = 39,543,579.52/7,150.94
  6. Step 6: Final answer
    x = 5,529.84

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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.