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Finding the Fourth Proportional to 9,535.46, 14,308.56 and 7,449.62

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Solution

The fourth proportional to 9,535.46, 14,308.56 and 7,449.62 is: 11,178.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,535.46 : 14,308.56 = 7,449.62 : x
  2. Step 2: Convert to fraction form
    9,535.46/14,308.56 = 7,449.62/x
  3. Step 3: Cross multiply
    9,535.46x = 14,308.56 × 7,449.62
  4. Step 4: Simplify right side
    9,535.46x = 106,593,334.75
  5. Step 5: Solve for x
    x = 106,593,334.75/9,535.46
  6. Step 6: Final answer
    x = 11,178.63

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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.