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Finding the Fourth Proportional to 9,896.66, 14,845.09 and 2,501.12

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Solution

The fourth proportional to 9,896.66, 14,845.09 and 2,501.12 is: 3,751.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,896.66 : 14,845.09 = 2,501.12 : x
  2. Step 2: Convert to fraction form
    9,896.66/14,845.09 = 2,501.12/x
  3. Step 3: Cross multiply
    9,896.66x = 14,845.09 × 2,501.12
  4. Step 4: Simplify right side
    9,896.66x = 37,129,345.25
  5. Step 5: Solve for x
    x = 37,129,345.25/9,896.66
  6. Step 6: Final answer
    x = 3,751.70

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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.