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Finding the Fourth Proportional to 9,861.93, 14,793.03 and 2,842.06

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Solution

The fourth proportional to 9,861.93, 14,793.03 and 2,842.06 is: 4,263.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,861.93 : 14,793.03 = 2,842.06 : x
  2. Step 2: Convert to fraction form
    9,861.93/14,793.03 = 2,842.06/x
  3. Step 3: Cross multiply
    9,861.93x = 14,793.03 × 2,842.06
  4. Step 4: Simplify right side
    9,861.93x = 42,042,678.84
  5. Step 5: Solve for x
    x = 42,042,678.84/9,861.93
  6. Step 6: Final answer
    x = 4,263.13

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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.