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Finding the Fourth Proportional to 9,489.90, 14,235.23 and 3,566.19

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Solution

The fourth proportional to 9,489.90, 14,235.23 and 3,566.19 is: 5,349.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,489.90 : 14,235.23 = 3,566.19 : x
  2. Step 2: Convert to fraction form
    9,489.90/14,235.23 = 3,566.19/x
  3. Step 3: Cross multiply
    9,489.90x = 14,235.23 × 3,566.19
  4. Step 4: Simplify right side
    9,489.90x = 50,765,534.87
  5. Step 5: Solve for x
    x = 50,765,534.87/9,489.90
  6. Step 6: Final answer
    x = 5,349.43

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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.