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Finding the Fourth Proportional to 9,253.82, 13,881.89 and 3,014.47

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Solution

The fourth proportional to 9,253.82, 13,881.89 and 3,014.47 is: 4,522.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,253.82 : 13,881.89 = 3,014.47 : x
  2. Step 2: Convert to fraction form
    9,253.82/13,881.89 = 3,014.47/x
  3. Step 3: Cross multiply
    9,253.82x = 13,881.89 × 3,014.47
  4. Step 4: Simplify right side
    9,253.82x = 41,846,464.00
  5. Step 5: Solve for x
    x = 41,846,464.00/9,253.82
  6. Step 6: Final answer
    x = 4,522.07

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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.