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Finding the Fourth Proportional to 10,126, 13,975.32 and 9,683.20

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Solution

The fourth proportional to 10,126, 13,975.32 and 9,683.20 is: 13,364.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,126 : 13,975.32 = 9,683.20 : x
  2. Step 2: Convert to fraction form
    10,126/13,975.32 = 9,683.20/x
  3. Step 3: Cross multiply
    10,126x = 13,975.32 × 9,683.20
  4. Step 4: Simplify right side
    10,126x = 135,325,818.62
  5. Step 5: Solve for x
    x = 135,325,818.62/10,126
  6. Step 6: Final answer
    x = 13,364.19

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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.