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Finding the Fourth Proportional to 9,194.52, 12,688.44 and 5,002.77

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Solution

The fourth proportional to 9,194.52, 12,688.44 and 5,002.77 is: 6,903.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,194.52 : 12,688.44 = 5,002.77 : x
  2. Step 2: Convert to fraction form
    9,194.52/12,688.44 = 5,002.77/x
  3. Step 3: Cross multiply
    9,194.52x = 12,688.44 × 5,002.77
  4. Step 4: Simplify right side
    9,194.52x = 63,477,346.98
  5. Step 5: Solve for x
    x = 63,477,346.98/9,194.52
  6. Step 6: Final answer
    x = 6,903.82

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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.