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Finding the Fourth Proportional to 9,811.99, 14,709.69 and 4,261.14

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Solution

The fourth proportional to 9,811.99, 14,709.69 and 4,261.14 is: 6,388.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,811.99 : 14,709.69 = 4,261.14 : x
  2. Step 2: Convert to fraction form
    9,811.99/14,709.69 = 4,261.14/x
  3. Step 3: Cross multiply
    9,811.99x = 14,709.69 × 4,261.14
  4. Step 4: Simplify right side
    9,811.99x = 62,680,048.45
  5. Step 5: Solve for x
    x = 62,680,048.45/9,811.99
  6. Step 6: Final answer
    x = 6,388.11

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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.