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Finding the Fourth Proportional to 9,896.18, 14,838.86 and 4,047.98

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Solution

The fourth proportional to 9,896.18, 14,838.86 and 4,047.98 is: 6,069.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,896.18 : 14,838.86 = 4,047.98 : x
  2. Step 2: Convert to fraction form
    9,896.18/14,838.86 = 4,047.98/x
  3. Step 3: Cross multiply
    9,896.18x = 14,838.86 × 4,047.98
  4. Step 4: Simplify right side
    9,896.18x = 60,067,408.50
  5. Step 5: Solve for x
    x = 60,067,408.50/9,896.18
  6. Step 6: Final answer
    x = 6,069.76

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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.