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Finding the Fourth Proportional to 9,384.66, 14,074.14 and 4,939.92

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Solution

The fourth proportional to 9,384.66, 14,074.14 and 4,939.92 is: 7,408.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,384.66 : 14,074.14 = 4,939.92 : x
  2. Step 2: Convert to fraction form
    9,384.66/14,074.14 = 4,939.92/x
  3. Step 3: Cross multiply
    9,384.66x = 14,074.14 × 4,939.92
  4. Step 4: Simplify right side
    9,384.66x = 69,525,125.67
  5. Step 5: Solve for x
    x = 69,525,125.67/9,384.66
  6. Step 6: Final answer
    x = 7,408.38

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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.