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Finding the Fourth Proportional to 9,348.15, 14,018.12 and 3,500.66

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Solution

The fourth proportional to 9,348.15, 14,018.12 and 3,500.66 is: 5,249.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,348.15 : 14,018.12 = 3,500.66 : x
  2. Step 2: Convert to fraction form
    9,348.15/14,018.12 = 3,500.66/x
  3. Step 3: Cross multiply
    9,348.15x = 14,018.12 × 3,500.66
  4. Step 4: Simplify right side
    9,348.15x = 49,072,715.76
  5. Step 5: Solve for x
    x = 49,072,715.76/9,348.15
  6. Step 6: Final answer
    x = 5,249.46

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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.