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Finding the Fourth Proportional to 9,188.64, 12,680.16 and 4,996.96

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Solution

The fourth proportional to 9,188.64, 12,680.16 and 4,996.96 is: 6,895.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,188.64 : 12,680.16 = 4,996.96 : x
  2. Step 2: Convert to fraction form
    9,188.64/12,680.16 = 4,996.96/x
  3. Step 3: Cross multiply
    9,188.64x = 12,680.16 × 4,996.96
  4. Step 4: Simplify right side
    9,188.64x = 63,362,252.31
  5. Step 5: Solve for x
    x = 63,362,252.31/9,188.64
  6. Step 6: Final answer
    x = 6,895.72

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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.