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Finding the Fourth Proportional to 9,829.63, 14,728.02 and 4,274.65

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Solution

The fourth proportional to 9,829.63, 14,728.02 and 4,274.65 is: 6,404.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,829.63 : 14,728.02 = 4,274.65 : x
  2. Step 2: Convert to fraction form
    9,829.63/14,728.02 = 4,274.65/x
  3. Step 3: Cross multiply
    9,829.63x = 14,728.02 × 4,274.65
  4. Step 4: Simplify right side
    9,829.63x = 62,957,130.69
  5. Step 5: Solve for x
    x = 62,957,130.69/9,829.63
  6. Step 6: Final answer
    x = 6,404.83

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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.