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Finding the Fourth Proportional to 9,770.69, 13,483.54 and 5,294.44

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Solution

The fourth proportional to 9,770.69, 13,483.54 and 5,294.44 is: 7,306.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,770.69 : 13,483.54 = 5,294.44 : x
  2. Step 2: Convert to fraction form
    9,770.69/13,483.54 = 5,294.44/x
  3. Step 3: Cross multiply
    9,770.69x = 13,483.54 × 5,294.44
  4. Step 4: Simplify right side
    9,770.69x = 71,387,793.52
  5. Step 5: Solve for x
    x = 71,387,793.52/9,770.69
  6. Step 6: Final answer
    x = 7,306.32

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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.