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Finding the Fourth Proportional to 6,336.01, 9,457.62 and 5,587.86

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Solution

The fourth proportional to 6,336.01, 9,457.62 and 5,587.86 is: 8,340.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,336.01 : 9,457.62 = 5,587.86 : x
  2. Step 2: Convert to fraction form
    6,336.01/9,457.62 = 5,587.86/x
  3. Step 3: Cross multiply
    6,336.01x = 9,457.62 × 5,587.86
  4. Step 4: Simplify right side
    6,336.01x = 52,847,856.49
  5. Step 5: Solve for x
    x = 52,847,856.49/6,336.01
  6. Step 6: Final answer
    x = 8,340.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.