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Finding the Fourth Proportional to 9,196.51, 12,690.31 and 5,162.42

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Solution

The fourth proportional to 9,196.51, 12,690.31 and 5,162.42 is: 7,123.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,196.51 : 12,690.31 = 5,162.42 : x
  2. Step 2: Convert to fraction form
    9,196.51/12,690.31 = 5,162.42/x
  3. Step 3: Cross multiply
    9,196.51x = 12,690.31 × 5,162.42
  4. Step 4: Simplify right side
    9,196.51x = 65,512,633.79
  5. Step 5: Solve for x
    x = 65,512,633.79/9,196.51
  6. Step 6: Final answer
    x = 7,123.64

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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.