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Finding the Fourth Proportional to 6,093.60, 9,140.56 and 2,396.76

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Solution

The fourth proportional to 6,093.60, 9,140.56 and 2,396.76 is: 3,595.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,093.60 : 9,140.56 = 2,396.76 : x
  2. Step 2: Convert to fraction form
    6,093.60/9,140.56 = 2,396.76/x
  3. Step 3: Cross multiply
    6,093.60x = 9,140.56 × 2,396.76
  4. Step 4: Simplify right side
    6,093.60x = 21,907,728.59
  5. Step 5: Solve for x
    x = 21,907,728.59/6,093.60
  6. Step 6: Final answer
    x = 3,595.20

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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.