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Finding the Fourth Proportional to 9,794.52, 14,699.07 and 4,604.04

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Solution

The fourth proportional to 9,794.52, 14,699.07 and 4,604.04 is: 6,909.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,794.52 : 14,699.07 = 4,604.04 : x
  2. Step 2: Convert to fraction form
    9,794.52/14,699.07 = 4,604.04/x
  3. Step 3: Cross multiply
    9,794.52x = 14,699.07 × 4,604.04
  4. Step 4: Simplify right side
    9,794.52x = 67,675,106.24
  5. Step 5: Solve for x
    x = 67,675,106.24/9,794.52
  6. Step 6: Final answer
    x = 6,909.49

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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.