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Finding the Fourth Proportional to 7,063.49, 9,747.68 and 4,412.43

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Solution

The fourth proportional to 7,063.49, 9,747.68 and 4,412.43 is: 6,089.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,063.49 : 9,747.68 = 4,412.43 : x
  2. Step 2: Convert to fraction form
    7,063.49/9,747.68 = 4,412.43/x
  3. Step 3: Cross multiply
    7,063.49x = 9,747.68 × 4,412.43
  4. Step 4: Simplify right side
    7,063.49x = 43,010,933.60
  5. Step 5: Solve for x
    x = 43,010,933.60/7,063.49
  6. Step 6: Final answer
    x = 6,089.19

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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.