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Finding the Fourth Proportional to 6,465.32, 9,694.62 and 3,345.32

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Solution

The fourth proportional to 6,465.32, 9,694.62 and 3,345.32 is: 5,016.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,465.32 : 9,694.62 = 3,345.32 : x
  2. Step 2: Convert to fraction form
    6,465.32/9,694.62 = 3,345.32/x
  3. Step 3: Cross multiply
    6,465.32x = 9,694.62 × 3,345.32
  4. Step 4: Simplify right side
    6,465.32x = 32,431,606.18
  5. Step 5: Solve for x
    x = 32,431,606.18/6,465.32
  6. Step 6: Final answer
    x = 5,016.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.