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Finding the Fourth Proportional to 6,901.95, 9,525.57 and 5,138.58

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Solution

The fourth proportional to 6,901.95, 9,525.57 and 5,138.58 is: 7,091.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,901.95 : 9,525.57 = 5,138.58 : x
  2. Step 2: Convert to fraction form
    6,901.95/9,525.57 = 5,138.58/x
  3. Step 3: Cross multiply
    6,901.95x = 9,525.57 × 5,138.58
  4. Step 4: Simplify right side
    6,901.95x = 48,947,903.49
  5. Step 5: Solve for x
    x = 48,947,903.49/6,901.95
  6. Step 6: Final answer
    x = 7,091.89

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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.