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Finding the Fourth Proportional to 9,196.30, 13,782.30 and 8,151.40

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Solution

The fourth proportional to 9,196.30, 13,782.30 and 8,151.40 is: 12,216.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,196.30 : 13,782.30 = 8,151.40 : x
  2. Step 2: Convert to fraction form
    9,196.30/13,782.30 = 8,151.40/x
  3. Step 3: Cross multiply
    9,196.30x = 13,782.30 × 8,151.40
  4. Step 4: Simplify right side
    9,196.30x = 112,345,040.22
  5. Step 5: Solve for x
    x = 112,345,040.22/9,196.30
  6. Step 6: Final answer
    x = 12,216.33

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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.