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Finding the Fourth Proportional to 9,662.40, 14,494.27 and 3,089.11

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Solution

The fourth proportional to 9,662.40, 14,494.27 and 3,089.11 is: 4,633.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,662.40 : 14,494.27 = 3,089.11 : x
  2. Step 2: Convert to fraction form
    9,662.40/14,494.27 = 3,089.11/x
  3. Step 3: Cross multiply
    9,662.40x = 14,494.27 × 3,089.11
  4. Step 4: Simplify right side
    9,662.40x = 44,774,394.40
  5. Step 5: Solve for x
    x = 44,774,394.40/9,662.40
  6. Step 6: Final answer
    x = 4,633.88

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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.