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Finding the Fourth Proportional to 9,462.84, 14,187.54 and 3,614.52

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Solution

The fourth proportional to 9,462.84, 14,187.54 and 3,614.52 is: 5,419.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,462.84 : 14,187.54 = 3,614.52 : x
  2. Step 2: Convert to fraction form
    9,462.84/14,187.54 = 3,614.52/x
  3. Step 3: Cross multiply
    9,462.84x = 14,187.54 × 3,614.52
  4. Step 4: Simplify right side
    9,462.84x = 51,281,147.08
  5. Step 5: Solve for x
    x = 51,281,147.08/9,462.84
  6. Step 6: Final answer
    x = 5,419.21

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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.