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Finding the Fourth Proportional to 9,814.12, 14,718.06 and 3,239.08

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Solution

The fourth proportional to 9,814.12, 14,718.06 and 3,239.08 is: 4,857.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,814.12 : 14,718.06 = 3,239.08 : x
  2. Step 2: Convert to fraction form
    9,814.12/14,718.06 = 3,239.08/x
  3. Step 3: Cross multiply
    9,814.12x = 14,718.06 × 3,239.08
  4. Step 4: Simplify right side
    9,814.12x = 47,672,973.78
  5. Step 5: Solve for x
    x = 47,672,973.78/9,814.12
  6. Step 6: Final answer
    x = 4,857.59

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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.