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Finding the Fourth Proportional to 9,347.96, 14,017.84 and 3,500.47

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Solution

The fourth proportional to 9,347.96, 14,017.84 and 3,500.47 is: 5,249.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,347.96 : 14,017.84 = 3,500.47 : x
  2. Step 2: Convert to fraction form
    9,347.96/14,017.84 = 3,500.47/x
  3. Step 3: Cross multiply
    9,347.96x = 14,017.84 × 3,500.47
  4. Step 4: Simplify right side
    9,347.96x = 49,069,028.38
  5. Step 5: Solve for x
    x = 49,069,028.38/9,347.96
  6. Step 6: Final answer
    x = 5,249.17

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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.