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Finding the Fourth Proportional to 9,194.64, 12,688.48 and 5,002.88

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Solution

The fourth proportional to 9,194.64, 12,688.48 and 5,002.88 is: 6,903.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,194.64 : 12,688.48 = 5,002.88 : x
  2. Step 2: Convert to fraction form
    9,194.64/12,688.48 = 5,002.88/x
  3. Step 3: Cross multiply
    9,194.64x = 12,688.48 × 5,002.88
  4. Step 4: Simplify right side
    9,194.64x = 63,478,942.82
  5. Step 5: Solve for x
    x = 63,478,942.82/9,194.64
  6. Step 6: Final answer
    x = 6,903.91

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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.