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Finding the Fourth Proportional to 9,498, 14,249.76 and 3,950.32

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Solution

The fourth proportional to 9,498, 14,249.76 and 3,950.32 is: 5,926.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,498 : 14,249.76 = 3,950.32 : x
  2. Step 2: Convert to fraction form
    9,498/14,249.76 = 3,950.32/x
  3. Step 3: Cross multiply
    9,498x = 14,249.76 × 3,950.32
  4. Step 4: Simplify right side
    9,498x = 56,291,111.92
  5. Step 5: Solve for x
    x = 56,291,111.92/9,498
  6. Step 6: Final answer
    x = 5,926.63

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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.