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Finding the Fourth Proportional to 9,532.70, 14,300.43 and 2,959.42

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Solution

The fourth proportional to 9,532.70, 14,300.43 and 2,959.42 is: 4,439.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,532.70 : 14,300.43 = 2,959.42 : x
  2. Step 2: Convert to fraction form
    9,532.70/14,300.43 = 2,959.42/x
  3. Step 3: Cross multiply
    9,532.70x = 14,300.43 × 2,959.42
  4. Step 4: Simplify right side
    9,532.70x = 42,320,978.55
  5. Step 5: Solve for x
    x = 42,320,978.55/9,532.70
  6. Step 6: Final answer
    x = 4,439.56

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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.