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Finding the Fourth Proportional to 6,902.94, 9,526.97 and 5,139.57

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Solution

The fourth proportional to 6,902.94, 9,526.97 and 5,139.57 is: 7,093.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,902.94 : 9,526.97 = 5,139.57 : x
  2. Step 2: Convert to fraction form
    6,902.94/9,526.97 = 5,139.57/x
  3. Step 3: Cross multiply
    6,902.94x = 9,526.97 × 5,139.57
  4. Step 4: Simplify right side
    6,902.94x = 48,964,529.20
  5. Step 5: Solve for x
    x = 48,964,529.20/6,902.94
  6. Step 6: Final answer
    x = 7,093.29

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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.