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Finding the Fourth Proportional to 9,188.49, 12,680.40 and 5,209.77

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Solution

The fourth proportional to 9,188.49, 12,680.40 and 5,209.77 is: 7,189.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,188.49 : 12,680.40 = 5,209.77 : x
  2. Step 2: Convert to fraction form
    9,188.49/12,680.40 = 5,209.77/x
  3. Step 3: Cross multiply
    9,188.49x = 12,680.40 × 5,209.77
  4. Step 4: Simplify right side
    9,188.49x = 66,061,941.46
  5. Step 5: Solve for x
    x = 66,061,941.46/9,188.49
  6. Step 6: Final answer
    x = 7,189.64

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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.