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Finding the Fourth Proportional to 6,516.78, 9,775.17 and 2,357.34

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Solution

The fourth proportional to 6,516.78, 9,775.17 and 2,357.34 is: 3,536.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,516.78 : 9,775.17 = 2,357.34 : x
  2. Step 2: Convert to fraction form
    6,516.78/9,775.17 = 2,357.34/x
  3. Step 3: Cross multiply
    6,516.78x = 9,775.17 × 2,357.34
  4. Step 4: Simplify right side
    6,516.78x = 23,043,399.25
  5. Step 5: Solve for x
    x = 23,043,399.25/6,516.78
  6. Step 6: Final answer
    x = 3,536.01

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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.