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Finding the Fourth Proportional to 8,942.32, 12,345.64 and 5,962.32

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Solution

The fourth proportional to 8,942.32, 12,345.64 and 5,962.32 is: 8,231.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,942.32 : 12,345.64 = 5,962.32 : x
  2. Step 2: Convert to fraction form
    8,942.32/12,345.64 = 5,962.32/x
  3. Step 3: Cross multiply
    8,942.32x = 12,345.64 × 5,962.32
  4. Step 4: Simplify right side
    8,942.32x = 73,608,656.28
  5. Step 5: Solve for x
    x = 73,608,656.28/8,942.32
  6. Step 6: Final answer
    x = 8,231.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.