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Finding the Fourth Proportional to 6,606.84, 9,116.68 and 3,917.64

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Solution

The fourth proportional to 6,606.84, 9,116.68 and 3,917.64 is: 5,405.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,606.84 : 9,116.68 = 3,917.64 : x
  2. Step 2: Convert to fraction form
    6,606.84/9,116.68 = 3,917.64/x
  3. Step 3: Cross multiply
    6,606.84x = 9,116.68 × 3,917.64
  4. Step 4: Simplify right side
    6,606.84x = 35,715,870.24
  5. Step 5: Solve for x
    x = 35,715,870.24/6,606.84
  6. Step 6: Final answer
    x = 5,405.89

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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.