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Finding the Fourth Proportional to 6,469.39, 9,708.91 and 4,807.35

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Solution

The fourth proportional to 6,469.39, 9,708.91 and 4,807.35 is: 7,214.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,469.39 : 9,708.91 = 4,807.35 : x
  2. Step 2: Convert to fraction form
    6,469.39/9,708.91 = 4,807.35/x
  3. Step 3: Cross multiply
    6,469.39x = 9,708.91 × 4,807.35
  4. Step 4: Simplify right side
    6,469.39x = 46,674,143.51
  5. Step 5: Solve for x
    x = 46,674,143.51/6,469.39
  6. Step 6: Final answer
    x = 7,214.61

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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.