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Finding the Fourth Proportional to 7,006.68, 9,664.65 and 4,212.18

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Solution

The fourth proportional to 7,006.68, 9,664.65 and 4,212.18 is: 5,810.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,006.68 : 9,664.65 = 4,212.18 : x
  2. Step 2: Convert to fraction form
    7,006.68/9,664.65 = 4,212.18/x
  3. Step 3: Cross multiply
    7,006.68x = 9,664.65 × 4,212.18
  4. Step 4: Simplify right side
    7,006.68x = 40,709,245.44
  5. Step 5: Solve for x
    x = 40,709,245.44/7,006.68
  6. Step 6: Final answer
    x = 5,810.06

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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.