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Finding the Fourth Proportional to 9,627.12, 14,410.42 and 9,402.48

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Solution

The fourth proportional to 9,627.12, 14,410.42 and 9,402.48 is: 14,074.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,627.12 : 14,410.42 = 9,402.48 : x
  2. Step 2: Convert to fraction form
    9,627.12/14,410.42 = 9,402.48/x
  3. Step 3: Cross multiply
    9,627.12x = 14,410.42 × 9,402.48
  4. Step 4: Simplify right side
    9,627.12x = 135,493,685.84
  5. Step 5: Solve for x
    x = 135,493,685.84/9,627.12
  6. Step 6: Final answer
    x = 14,074.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.