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Finding the Fourth Proportional to 9,496.10, 14,218.65 and 7,733.86

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Solution

The fourth proportional to 9,496.10, 14,218.65 and 7,733.86 is: 11,580.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,496.10 : 14,218.65 = 7,733.86 : x
  2. Step 2: Convert to fraction form
    9,496.10/14,218.65 = 7,733.86/x
  3. Step 3: Cross multiply
    9,496.10x = 14,218.65 × 7,733.86
  4. Step 4: Simplify right side
    9,496.10x = 109,965,012.94
  5. Step 5: Solve for x
    x = 109,965,012.94/9,496.10
  6. Step 6: Final answer
    x = 11,580.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.