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Finding the Fourth Proportional to 9,250.84, 13,876.53 and 2,678.50

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Solution

The fourth proportional to 9,250.84, 13,876.53 and 2,678.50 is: 4,017.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,250.84 : 13,876.53 = 2,678.50 : x
  2. Step 2: Convert to fraction form
    9,250.84/13,876.53 = 2,678.50/x
  3. Step 3: Cross multiply
    9,250.84x = 13,876.53 × 2,678.50
  4. Step 4: Simplify right side
    9,250.84x = 37,168,285.61
  5. Step 5: Solve for x
    x = 37,168,285.61/9,250.84
  6. Step 6: Final answer
    x = 4,017.83

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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.