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Finding the Fourth Proportional to 9,196.84, 12,690.75 and 5,162.74

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Solution

The fourth proportional to 9,196.84, 12,690.75 and 5,162.74 is: 7,124.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,196.84 : 12,690.75 = 5,162.74 : x
  2. Step 2: Convert to fraction form
    9,196.84/12,690.75 = 5,162.74/x
  3. Step 3: Cross multiply
    9,196.84x = 12,690.75 × 5,162.74
  4. Step 4: Simplify right side
    9,196.84x = 65,518,979.20
  5. Step 5: Solve for x
    x = 65,518,979.20/9,196.84
  6. Step 6: Final answer
    x = 7,124.08

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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.