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Finding the Fourth Proportional to 9,814.12, 14,725.12 and 3,574.57

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Solution

The fourth proportional to 9,814.12, 14,725.12 and 3,574.57 is: 5,363.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,814.12 : 14,725.12 = 3,574.57 : x
  2. Step 2: Convert to fraction form
    9,814.12/14,725.12 = 3,574.57/x
  3. Step 3: Cross multiply
    9,814.12x = 14,725.12 × 3,574.57
  4. Step 4: Simplify right side
    9,814.12x = 52,635,952.62
  5. Step 5: Solve for x
    x = 52,635,952.62/9,814.12
  6. Step 6: Final answer
    x = 5,363.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.