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Finding the Fourth Proportional to 6,465.16, 9,697.52 and 2,083.46

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Solution

The fourth proportional to 6,465.16, 9,697.52 and 2,083.46 is: 3,125.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,465.16 : 9,697.52 = 2,083.46 : x
  2. Step 2: Convert to fraction form
    6,465.16/9,697.52 = 2,083.46/x
  3. Step 3: Cross multiply
    6,465.16x = 9,697.52 × 2,083.46
  4. Step 4: Simplify right side
    6,465.16x = 20,204,395.02
  5. Step 5: Solve for x
    x = 20,204,395.02/6,465.16
  6. Step 6: Final answer
    x = 3,125.12

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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.