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Finding the Fourth Proportional to 9,194.60, 12,688.70 and 5,215.82

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Solution

The fourth proportional to 9,194.60, 12,688.70 and 5,215.82 is: 7,197.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,194.60 : 12,688.70 = 5,215.82 : x
  2. Step 2: Convert to fraction form
    9,194.60/12,688.70 = 5,215.82/x
  3. Step 3: Cross multiply
    9,194.60x = 12,688.70 × 5,215.82
  4. Step 4: Simplify right side
    9,194.60x = 66,181,885.71
  5. Step 5: Solve for x
    x = 66,181,885.71/9,194.60
  6. Step 6: Final answer
    x = 7,197.91

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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.