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Finding the Fourth Proportional to 9,813.14, 14,710.80 and 3,568.74

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Solution

The fourth proportional to 9,813.14, 14,710.80 and 3,568.74 is: 5,349.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,813.14 : 14,710.80 = 3,568.74 : x
  2. Step 2: Convert to fraction form
    9,813.14/14,710.80 = 3,568.74/x
  3. Step 3: Cross multiply
    9,813.14x = 14,710.80 × 3,568.74
  4. Step 4: Simplify right side
    9,813.14x = 52,499,020.39
  5. Step 5: Solve for x
    x = 52,499,020.39/9,813.14
  6. Step 6: Final answer
    x = 5,349.87

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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.