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Finding the Fourth Proportional to 9,439, 14,158.52 and 5,335

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Solution

The fourth proportional to 9,439, 14,158.52 and 5,335 is: 8,002.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,439 : 14,158.52 = 5,335 : x
  2. Step 2: Convert to fraction form
    9,439/14,158.52 = 5,335/x
  3. Step 3: Cross multiply
    9,439x = 14,158.52 × 5,335
  4. Step 4: Simplify right side
    9,439x = 75,535,704.20
  5. Step 5: Solve for x
    x = 75,535,704.20/9,439
  6. Step 6: Final answer
    x = 8,002.51

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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.