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Finding the Fourth Proportional to 9,894.94, 14,849.90 and 3,658.74

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Solution

The fourth proportional to 9,894.94, 14,849.90 and 3,658.74 is: 5,490.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,894.94 : 14,849.90 = 3,658.74 : x
  2. Step 2: Convert to fraction form
    9,894.94/14,849.90 = 3,658.74/x
  3. Step 3: Cross multiply
    9,894.94x = 14,849.90 × 3,658.74
  4. Step 4: Simplify right side
    9,894.94x = 54,331,923.13
  5. Step 5: Solve for x
    x = 54,331,923.13/9,894.94
  6. Step 6: Final answer
    x = 5,490.88

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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.