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Finding the Fourth Proportional to 9,698.30, 14,553.84 and 5,318.84

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Solution

The fourth proportional to 9,698.30, 14,553.84 and 5,318.84 is: 7,981.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,698.30 : 14,553.84 = 5,318.84 : x
  2. Step 2: Convert to fraction form
    9,698.30/14,553.84 = 5,318.84/x
  3. Step 3: Cross multiply
    9,698.30x = 14,553.84 × 5,318.84
  4. Step 4: Simplify right side
    9,698.30x = 77,409,475.93
  5. Step 5: Solve for x
    x = 77,409,475.93/9,698.30
  6. Step 6: Final answer
    x = 7,981.75

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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.