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Finding the Fourth Proportional to 6,855.72, 9,461.34 and 4,203.24

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Solution

The fourth proportional to 6,855.72, 9,461.34 and 4,203.24 is: 5,800.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,855.72 : 9,461.34 = 4,203.24 : x
  2. Step 2: Convert to fraction form
    6,855.72/9,461.34 = 4,203.24/x
  3. Step 3: Cross multiply
    6,855.72x = 9,461.34 × 4,203.24
  4. Step 4: Simplify right side
    6,855.72x = 39,768,282.74
  5. Step 5: Solve for x
    x = 39,768,282.74/6,855.72
  6. Step 6: Final answer
    x = 5,800.74

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