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Finding the Fourth Proportional to 6,907.02, 9,531.69 and 3,763.21

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Solution

The fourth proportional to 6,907.02, 9,531.69 and 3,763.21 is: 5,193.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,907.02 : 9,531.69 = 3,763.21 : x
  2. Step 2: Convert to fraction form
    6,907.02/9,531.69 = 3,763.21/x
  3. Step 3: Cross multiply
    6,907.02x = 9,531.69 × 3,763.21
  4. Step 4: Simplify right side
    6,907.02x = 35,869,748.93
  5. Step 5: Solve for x
    x = 35,869,748.93/6,907.02
  6. Step 6: Final answer
    x = 5,193.23

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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.