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Finding the Fourth Proportional to 9,460.96, 13,057.02 and 7,066.78

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Solution

The fourth proportional to 9,460.96, 13,057.02 and 7,066.78 is: 9,752.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,460.96 : 13,057.02 = 7,066.78 : x
  2. Step 2: Convert to fraction form
    9,460.96/13,057.02 = 7,066.78/x
  3. Step 3: Cross multiply
    9,460.96x = 13,057.02 × 7,066.78
  4. Step 4: Simplify right side
    9,460.96x = 92,271,087.80
  5. Step 5: Solve for x
    x = 92,271,087.80/9,460.96
  6. Step 6: Final answer
    x = 9,752.83

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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.