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Finding the Fourth Proportional to 9,577.34, 14,347.33 and 5,404.73

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Solution

The fourth proportional to 9,577.34, 14,347.33 and 5,404.73 is: 8,096.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,577.34 : 14,347.33 = 5,404.73 : x
  2. Step 2: Convert to fraction form
    9,577.34/14,347.33 = 5,404.73/x
  3. Step 3: Cross multiply
    9,577.34x = 14,347.33 × 5,404.73
  4. Step 4: Simplify right side
    9,577.34x = 77,543,359.62
  5. Step 5: Solve for x
    x = 77,543,359.62/9,577.34
  6. Step 6: Final answer
    x = 8,096.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.