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Finding the Fourth Proportional to 6,465.82, 9,700.62 and 2,083.18

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Solution

The fourth proportional to 6,465.82, 9,700.62 and 2,083.18 is: 3,125.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,465.82 : 9,700.62 = 2,083.18 : x
  2. Step 2: Convert to fraction form
    6,465.82/9,700.62 = 2,083.18/x
  3. Step 3: Cross multiply
    6,465.82x = 9,700.62 × 2,083.18
  4. Step 4: Simplify right side
    6,465.82x = 20,208,137.57
  5. Step 5: Solve for x
    x = 20,208,137.57/6,465.82
  6. Step 6: Final answer
    x = 3,125.38

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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.