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Finding the Fourth Proportional to 6,313.88, 9,473.58 and 3,027.92

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Solution

The fourth proportional to 6,313.88, 9,473.58 and 3,027.92 is: 4,543.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,313.88 : 9,473.58 = 3,027.92 : x
  2. Step 2: Convert to fraction form
    6,313.88/9,473.58 = 3,027.92/x
  3. Step 3: Cross multiply
    6,313.88x = 9,473.58 × 3,027.92
  4. Step 4: Simplify right side
    6,313.88x = 28,685,242.35
  5. Step 5: Solve for x
    x = 28,685,242.35/6,313.88
  6. Step 6: Final answer
    x = 4,543.20

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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.