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Finding the Fourth Proportional to 9,917.74, 14,879.85 and 7,733.98

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Solution

The fourth proportional to 9,917.74, 14,879.85 and 7,733.98 is: 11,603.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,917.74 : 14,879.85 = 7,733.98 : x
  2. Step 2: Convert to fraction form
    9,917.74/14,879.85 = 7,733.98/x
  3. Step 3: Cross multiply
    9,917.74x = 14,879.85 × 7,733.98
  4. Step 4: Simplify right side
    9,917.74x = 115,080,462.30
  5. Step 5: Solve for x
    x = 115,080,462.30/9,917.74
  6. Step 6: Final answer
    x = 11,603.50

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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.