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Finding the Fourth Proportional to 9,914.47, 13,683.12 and 5,666.22

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Solution

The fourth proportional to 9,914.47, 13,683.12 and 5,666.22 is: 7,820.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,914.47 : 13,683.12 = 5,666.22 : x
  2. Step 2: Convert to fraction form
    9,914.47/13,683.12 = 5,666.22/x
  3. Step 3: Cross multiply
    9,914.47x = 13,683.12 × 5,666.22
  4. Step 4: Simplify right side
    9,914.47x = 77,531,568.21
  5. Step 5: Solve for x
    x = 77,531,568.21/9,914.47
  6. Step 6: Final answer
    x = 7,820.04

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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.