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Finding the Fourth Proportional to 7,146.20, 9,857.02 and 5,651.76

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Solution

The fourth proportional to 7,146.20, 9,857.02 and 5,651.76 is: 7,795.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,146.20 : 9,857.02 = 5,651.76 : x
  2. Step 2: Convert to fraction form
    7,146.20/9,857.02 = 5,651.76/x
  3. Step 3: Cross multiply
    7,146.20x = 9,857.02 × 5,651.76
  4. Step 4: Simplify right side
    7,146.20x = 55,709,511.36
  5. Step 5: Solve for x
    x = 55,709,511.36/7,146.20
  6. Step 6: Final answer
    x = 7,795.68

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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.