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Finding the Fourth Proportional to 9,796.66, 14,699.74 and 6,097.94

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Solution

The fourth proportional to 9,796.66, 14,699.74 and 6,097.94 is: 9,149.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,796.66 : 14,699.74 = 6,097.94 : x
  2. Step 2: Convert to fraction form
    9,796.66/14,699.74 = 6,097.94/x
  3. Step 3: Cross multiply
    9,796.66x = 14,699.74 × 6,097.94
  4. Step 4: Simplify right side
    9,796.66x = 89,638,132.54
  5. Step 5: Solve for x
    x = 89,638,132.54/9,796.66
  6. Step 6: Final answer
    x = 9,149.87

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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.