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Finding the Fourth Proportional to 9,359.52, 14,039.24 and 2,434

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Solution

The fourth proportional to 9,359.52, 14,039.24 and 2,434 is: 3,650.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,359.52 : 14,039.24 = 2,434 : x
  2. Step 2: Convert to fraction form
    9,359.52/14,039.24 = 2,434/x
  3. Step 3: Cross multiply
    9,359.52x = 14,039.24 × 2,434
  4. Step 4: Simplify right side
    9,359.52x = 34,171,510.16
  5. Step 5: Solve for x
    x = 34,171,510.16/9,359.52
  6. Step 6: Final answer
    x = 3,650.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.