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Finding the Fourth Proportional to 9,196.32, 12,689.88 and 5,216.40

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Solution

The fourth proportional to 9,196.32, 12,689.88 and 5,216.40 is: 7,198.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,196.32 : 12,689.88 = 5,216.40 : x
  2. Step 2: Convert to fraction form
    9,196.32/12,689.88 = 5,216.40/x
  3. Step 3: Cross multiply
    9,196.32x = 12,689.88 × 5,216.40
  4. Step 4: Simplify right side
    9,196.32x = 66,195,490.03
  5. Step 5: Solve for x
    x = 66,195,490.03/9,196.32
  6. Step 6: Final answer
    x = 7,198.04

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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.