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Finding the Fourth Proportional to 9,186.52, 13,780.04 and 2,261

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Solution

The fourth proportional to 9,186.52, 13,780.04 and 2,261 is: 3,391.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,186.52 : 13,780.04 = 2,261 : x
  2. Step 2: Convert to fraction form
    9,186.52/13,780.04 = 2,261/x
  3. Step 3: Cross multiply
    9,186.52x = 13,780.04 × 2,261
  4. Step 4: Simplify right side
    9,186.52x = 31,156,670.44
  5. Step 5: Solve for x
    x = 31,156,670.44/9,186.52
  6. Step 6: Final answer
    x = 3,391.56

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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.