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Finding the Fourth Proportional to 9,006.09, 12,431.80 and 7,086.93

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Solution

The fourth proportional to 9,006.09, 12,431.80 and 7,086.93 is: 9,782.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,006.09 : 12,431.80 = 7,086.93 : x
  2. Step 2: Convert to fraction form
    9,006.09/12,431.80 = 7,086.93/x
  3. Step 3: Cross multiply
    9,006.09x = 12,431.80 × 7,086.93
  4. Step 4: Simplify right side
    9,006.09x = 88,103,258.61
  5. Step 5: Solve for x
    x = 88,103,258.61/9,006.09
  6. Step 6: Final answer
    x = 9,782.64

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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.