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Finding the Fourth Proportional to 9,829.52, 14,744.10 and 2,433.98

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Solution

The fourth proportional to 9,829.52, 14,744.10 and 2,433.98 is: 3,650.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,829.52 : 14,744.10 = 2,433.98 : x
  2. Step 2: Convert to fraction form
    9,829.52/14,744.10 = 2,433.98/x
  3. Step 3: Cross multiply
    9,829.52x = 14,744.10 × 2,433.98
  4. Step 4: Simplify right side
    9,829.52x = 35,886,881.38
  5. Step 5: Solve for x
    x = 35,886,881.38/9,829.52
  6. Step 6: Final answer
    x = 3,650.93

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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.