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Finding the Fourth Proportional to 6,207.01, 8,564.47 and 3,848.09

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Solution

The fourth proportional to 6,207.01, 8,564.47 and 3,848.09 is: 5,309.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,207.01 : 8,564.47 = 3,848.09 : x
  2. Step 2: Convert to fraction form
    6,207.01/8,564.47 = 3,848.09/x
  3. Step 3: Cross multiply
    6,207.01x = 8,564.47 × 3,848.09
  4. Step 4: Simplify right side
    6,207.01x = 32,956,798.92
  5. Step 5: Solve for x
    x = 32,956,798.92/6,207.01
  6. Step 6: Final answer
    x = 5,309.61

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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.