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Finding the Fourth Proportional to 9,484.50, 14,229.99 and 9,244.74

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Solution

The fourth proportional to 9,484.50, 14,229.99 and 9,244.74 is: 13,870.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,484.50 : 14,229.99 = 9,244.74 : x
  2. Step 2: Convert to fraction form
    9,484.50/14,229.99 = 9,244.74/x
  3. Step 3: Cross multiply
    9,484.50x = 14,229.99 × 9,244.74
  4. Step 4: Simplify right side
    9,484.50x = 131,552,557.75
  5. Step 5: Solve for x
    x = 131,552,557.75/9,484.50
  6. Step 6: Final answer
    x = 13,870.27

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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.