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Finding the Fourth Proportional to 9,814.99, 14,726.39 and 3,575.42

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Solution

The fourth proportional to 9,814.99, 14,726.39 and 3,575.42 is: 5,364.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,814.99 : 14,726.39 = 3,575.42 : x
  2. Step 2: Convert to fraction form
    9,814.99/14,726.39 = 3,575.42/x
  3. Step 3: Cross multiply
    9,814.99x = 14,726.39 × 3,575.42
  4. Step 4: Simplify right side
    9,814.99x = 52,653,096.00
  5. Step 5: Solve for x
    x = 52,653,096.00/9,814.99
  6. Step 6: Final answer
    x = 5,364.56

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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.