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Finding the Fourth Proportional to 6,675.62, 9,212.13 and 4,021.45

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Solution

The fourth proportional to 6,675.62, 9,212.13 and 4,021.45 is: 5,549.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,675.62 : 9,212.13 = 4,021.45 : x
  2. Step 2: Convert to fraction form
    6,675.62/9,212.13 = 4,021.45/x
  3. Step 3: Cross multiply
    6,675.62x = 9,212.13 × 4,021.45
  4. Step 4: Simplify right side
    6,675.62x = 37,046,097.16
  5. Step 5: Solve for x
    x = 37,046,097.16/6,675.62
  6. Step 6: Final answer
    x = 5,549.47

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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.