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Finding the Fourth Proportional to 10,294.72, 14,200.32 and 6,100

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Solution

The fourth proportional to 10,294.72, 14,200.32 and 6,100 is: 8,414.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,294.72 : 14,200.32 = 6,100 : x
  2. Step 2: Convert to fraction form
    10,294.72/14,200.32 = 6,100/x
  3. Step 3: Cross multiply
    10,294.72x = 14,200.32 × 6,100
  4. Step 4: Simplify right side
    10,294.72x = 86,621,952
  5. Step 5: Solve for x
    x = 86,621,952/10,294.72
  6. Step 6: Final answer
    x = 8,414.21

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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.