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Finding the Fourth Proportional to 6,611.02, 9,123.32 and 3,627

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Solution

The fourth proportional to 6,611.02, 9,123.32 and 3,627 is: 5,005.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,611.02 : 9,123.32 = 3,627 : x
  2. Step 2: Convert to fraction form
    6,611.02/9,123.32 = 3,627/x
  3. Step 3: Cross multiply
    6,611.02x = 9,123.32 × 3,627
  4. Step 4: Simplify right side
    6,611.02x = 33,090,290.71
  5. Step 5: Solve for x
    x = 33,090,290.71/6,611.02
  6. Step 6: Final answer
    x = 5,005.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.