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Finding the Fourth Proportional to 9,188.47, 12,680.08 and 5,209.58

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Solution

The fourth proportional to 9,188.47, 12,680.08 and 5,209.58 is: 7,189.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,188.47 : 12,680.08 = 5,209.58 : x
  2. Step 2: Convert to fraction form
    9,188.47/12,680.08 = 5,209.58/x
  3. Step 3: Cross multiply
    9,188.47x = 12,680.08 × 5,209.58
  4. Step 4: Simplify right side
    9,188.47x = 66,057,827.77
  5. Step 5: Solve for x
    x = 66,057,827.77/9,188.47
  6. Step 6: Final answer
    x = 7,189.21

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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.