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Finding the Fourth Proportional to 9,653.89, 14,470.91 and 5,484.99

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Solution

The fourth proportional to 9,653.89, 14,470.91 and 5,484.99 is: 8,221.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,653.89 : 14,470.91 = 5,484.99 : x
  2. Step 2: Convert to fraction form
    9,653.89/14,470.91 = 5,484.99/x
  3. Step 3: Cross multiply
    9,653.89x = 14,470.91 × 5,484.99
  4. Step 4: Simplify right side
    9,653.89x = 79,372,796.64
  5. Step 5: Solve for x
    x = 79,372,796.64/9,653.89
  6. Step 6: Final answer
    x = 8,221.85

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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.