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Finding the Fourth Proportional to 9,187.32, 13,785.30 and 6,992.76

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Solution

The fourth proportional to 9,187.32, 13,785.30 and 6,992.76 is: 10,492.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,187.32 : 13,785.30 = 6,992.76 : x
  2. Step 2: Convert to fraction form
    9,187.32/13,785.30 = 6,992.76/x
  3. Step 3: Cross multiply
    9,187.32x = 13,785.30 × 6,992.76
  4. Step 4: Simplify right side
    9,187.32x = 96,397,294.43
  5. Step 5: Solve for x
    x = 96,397,294.43/9,187.32
  6. Step 6: Final answer
    x = 10,492.43

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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.