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Finding the Fourth Proportional to 9,896.13, 14,848.02 and 7,276.77

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Solution

The fourth proportional to 9,896.13, 14,848.02 and 7,276.77 is: 10,917.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,896.13 : 14,848.02 = 7,276.77 : x
  2. Step 2: Convert to fraction form
    9,896.13/14,848.02 = 7,276.77/x
  3. Step 3: Cross multiply
    9,896.13x = 14,848.02 × 7,276.77
  4. Step 4: Simplify right side
    9,896.13x = 108,045,626.50
  5. Step 5: Solve for x
    x = 108,045,626.50/9,896.13
  6. Step 6: Final answer
    x = 10,917.97

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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.