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Finding the Fourth Proportional to 6,101.30, 9,146.48 and 5,069.76

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Solution

The fourth proportional to 6,101.30, 9,146.48 and 5,069.76 is: 7,600.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,101.30 : 9,146.48 = 5,069.76 : x
  2. Step 2: Convert to fraction form
    6,101.30/9,146.48 = 5,069.76/x
  3. Step 3: Cross multiply
    6,101.30x = 9,146.48 × 5,069.76
  4. Step 4: Simplify right side
    6,101.30x = 46,370,458.44
  5. Step 5: Solve for x
    x = 46,370,458.44/6,101.30
  6. Step 6: Final answer
    x = 7,600.09

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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.