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Finding the Fourth Proportional to 9,875.81, 13,614.94 and 6,684.04

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Solution

The fourth proportional to 9,875.81, 13,614.94 and 6,684.04 is: 9,214.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,875.81 : 13,614.94 = 6,684.04 : x
  2. Step 2: Convert to fraction form
    9,875.81/13,614.94 = 6,684.04/x
  3. Step 3: Cross multiply
    9,875.81x = 13,614.94 × 6,684.04
  4. Step 4: Simplify right side
    9,875.81x = 91,002,714.75
  5. Step 5: Solve for x
    x = 91,002,714.75/9,875.81
  6. Step 6: Final answer
    x = 9,214.71

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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.