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Finding the Fourth Proportional to 9,092.82, 12,570.64 and 9,009.78

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Solution

The fourth proportional to 9,092.82, 12,570.64 and 9,009.78 is: 12,455.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,092.82 : 12,570.64 = 9,009.78 : x
  2. Step 2: Convert to fraction form
    9,092.82/12,570.64 = 9,009.78/x
  3. Step 3: Cross multiply
    9,092.82x = 12,570.64 × 9,009.78
  4. Step 4: Simplify right side
    9,092.82x = 113,258,700.86
  5. Step 5: Solve for x
    x = 113,258,700.86/9,092.82
  6. Step 6: Final answer
    x = 12,455.84

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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.