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Finding the Fourth Proportional to 9,036, 13,560.84 and 6,282

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Solution

The fourth proportional to 9,036, 13,560.84 and 6,282 is: 9,427.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,036 : 13,560.84 = 6,282 : x
  2. Step 2: Convert to fraction form
    9,036/13,560.84 = 6,282/x
  3. Step 3: Cross multiply
    9,036x = 13,560.84 × 6,282
  4. Step 4: Simplify right side
    9,036x = 85,189,196.88
  5. Step 5: Solve for x
    x = 85,189,196.88/9,036
  6. Step 6: Final answer
    x = 9,427.76

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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.