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Finding the Fourth Proportional to 9,188.67, 12,680.29 and 4,996.95

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Solution

The fourth proportional to 9,188.67, 12,680.29 and 4,996.95 is: 6,895.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,188.67 : 12,680.29 = 4,996.95 : x
  2. Step 2: Convert to fraction form
    9,188.67/12,680.29 = 4,996.95/x
  3. Step 3: Cross multiply
    9,188.67x = 12,680.29 × 4,996.95
  4. Step 4: Simplify right side
    9,188.67x = 63,362,775.12
  5. Step 5: Solve for x
    x = 63,362,775.12/9,188.67
  6. Step 6: Final answer
    x = 6,895.75

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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.