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Finding the Fourth Proportional to 6,465.07, 9,695.50 and 2,516.05

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Solution

The fourth proportional to 6,465.07, 9,695.50 and 2,516.05 is: 3,773.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,465.07 : 9,695.50 = 2,516.05 : x
  2. Step 2: Convert to fraction form
    6,465.07/9,695.50 = 2,516.05/x
  3. Step 3: Cross multiply
    6,465.07x = 9,695.50 × 2,516.05
  4. Step 4: Simplify right side
    6,465.07x = 24,394,362.78
  5. Step 5: Solve for x
    x = 24,394,362.78/6,465.07
  6. Step 6: Final answer
    x = 3,773.26

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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.