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Finding the Fourth Proportional to 9,914.96, 13,678.88 and 6,330.05

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Solution

The fourth proportional to 9,914.96, 13,678.88 and 6,330.05 is: 8,733.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,914.96 : 13,678.88 = 6,330.05 : x
  2. Step 2: Convert to fraction form
    9,914.96/13,678.88 = 6,330.05/x
  3. Step 3: Cross multiply
    9,914.96x = 13,678.88 × 6,330.05
  4. Step 4: Simplify right side
    9,914.96x = 86,588,022.54
  5. Step 5: Solve for x
    x = 86,588,022.54/9,914.96
  6. Step 6: Final answer
    x = 8,733.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.