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Finding the Fourth Proportional to 6,917.06, 10,365.62 and 3,946.35

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Solution

The fourth proportional to 6,917.06, 10,365.62 and 3,946.35 is: 5,913.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,917.06 : 10,365.62 = 3,946.35 : x
  2. Step 2: Convert to fraction form
    6,917.06/10,365.62 = 3,946.35/x
  3. Step 3: Cross multiply
    6,917.06x = 10,365.62 × 3,946.35
  4. Step 4: Simplify right side
    6,917.06x = 40,906,374.35
  5. Step 5: Solve for x
    x = 40,906,374.35/6,917.06
  6. Step 6: Final answer
    x = 5,913.84

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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.