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Finding the Fourth Proportional to 9,196.25, 12,689.95 and 5,162.15

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Solution

The fourth proportional to 9,196.25, 12,689.95 and 5,162.15 is: 7,123.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,196.25 : 12,689.95 = 5,162.15 : x
  2. Step 2: Convert to fraction form
    9,196.25/12,689.95 = 5,162.15/x
  3. Step 3: Cross multiply
    9,196.25x = 12,689.95 × 5,162.15
  4. Step 4: Simplify right side
    9,196.25x = 65,507,460.07
  5. Step 5: Solve for x
    x = 65,507,460.07/9,196.25
  6. Step 6: Final answer
    x = 7,123.28

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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.