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Finding the Fourth Proportional to 9,562.35, 14,344.90 and 4,627.94

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Solution

The fourth proportional to 9,562.35, 14,344.90 and 4,627.94 is: 6,942.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,562.35 : 14,344.90 = 4,627.94 : x
  2. Step 2: Convert to fraction form
    9,562.35/14,344.90 = 4,627.94/x
  3. Step 3: Cross multiply
    9,562.35x = 14,344.90 × 4,627.94
  4. Step 4: Simplify right side
    9,562.35x = 66,387,253.21
  5. Step 5: Solve for x
    x = 66,387,253.21/9,562.35
  6. Step 6: Final answer
    x = 6,942.56

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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.