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Finding the Fourth Proportional to 6,901.94, 9,525.59 and 5,138.57

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Solution

The fourth proportional to 6,901.94, 9,525.59 and 5,138.57 is: 7,091.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,901.94 : 9,525.59 = 5,138.57 : x
  2. Step 2: Convert to fraction form
    6,901.94/9,525.59 = 5,138.57/x
  3. Step 3: Cross multiply
    6,901.94x = 9,525.59 × 5,138.57
  4. Step 4: Simplify right side
    6,901.94x = 48,947,837.69
  5. Step 5: Solve for x
    x = 48,947,837.69/6,901.94
  6. Step 6: Final answer
    x = 7,091.90

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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.