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Finding the Fourth Proportional to 9,194.50, 12,688.13 and 5,002.74

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Solution

The fourth proportional to 9,194.50, 12,688.13 and 5,002.74 is: 6,903.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,194.50 : 12,688.13 = 5,002.74 : x
  2. Step 2: Convert to fraction form
    9,194.50/12,688.13 = 5,002.74/x
  3. Step 3: Cross multiply
    9,194.50x = 12,688.13 × 5,002.74
  4. Step 4: Simplify right side
    9,194.50x = 63,475,415.48
  5. Step 5: Solve for x
    x = 63,475,415.48/9,194.50
  6. Step 6: Final answer
    x = 6,903.63

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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.