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Finding the Fourth Proportional to 6,207.71, 9,296.33 and 4,009.77

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Solution

The fourth proportional to 6,207.71, 9,296.33 and 4,009.77 is: 6,004.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,207.71 : 9,296.33 = 4,009.77 : x
  2. Step 2: Convert to fraction form
    6,207.71/9,296.33 = 4,009.77/x
  3. Step 3: Cross multiply
    6,207.71x = 9,296.33 × 4,009.77
  4. Step 4: Simplify right side
    6,207.71x = 37,276,125.10
  5. Step 5: Solve for x
    x = 37,276,125.10/6,207.71
  6. Step 6: Final answer
    x = 6,004.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.