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Finding the Fourth Proportional to 9,542.52, 14,313.74 and 2,968.70

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Solution

The fourth proportional to 9,542.52, 14,313.74 and 2,968.70 is: 4,453.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,542.52 : 14,313.74 = 2,968.70 : x
  2. Step 2: Convert to fraction form
    9,542.52/14,313.74 = 2,968.70/x
  3. Step 3: Cross multiply
    9,542.52x = 14,313.74 × 2,968.70
  4. Step 4: Simplify right side
    9,542.52x = 42,493,113.53
  5. Step 5: Solve for x
    x = 42,493,113.53/9,542.52
  6. Step 6: Final answer
    x = 4,453.03

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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.