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Finding the Fourth Proportional to 9,533.57, 14,302.24 and 2,959.47

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Solution

The fourth proportional to 9,533.57, 14,302.24 and 2,959.47 is: 4,439.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,533.57 : 14,302.24 = 2,959.47 : x
  2. Step 2: Convert to fraction form
    9,533.57/14,302.24 = 2,959.47/x
  3. Step 3: Cross multiply
    9,533.57x = 14,302.24 × 2,959.47
  4. Step 4: Simplify right side
    9,533.57x = 42,327,042.81
  5. Step 5: Solve for x
    x = 42,327,042.81/9,533.57
  6. Step 6: Final answer
    x = 4,439.79

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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.