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Finding the Fourth Proportional to 9,894.77, 14,842.11 and 4,051.38

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Solution

The fourth proportional to 9,894.77, 14,842.11 and 4,051.38 is: 6,077.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,894.77 : 14,842.11 = 4,051.38 : x
  2. Step 2: Convert to fraction form
    9,894.77/14,842.11 = 4,051.38/x
  3. Step 3: Cross multiply
    9,894.77x = 14,842.11 × 4,051.38
  4. Step 4: Simplify right side
    9,894.77x = 60,131,027.61
  5. Step 5: Solve for x
    x = 60,131,027.61/9,894.77
  6. Step 6: Final answer
    x = 6,077.05

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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.