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Finding the Fourth Proportional to 9,188.70, 12,680.03 and 5,210.09

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Solution

The fourth proportional to 9,188.70, 12,680.03 and 5,210.09 is: 7,189.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,188.70 : 12,680.03 = 5,210.09 : x
  2. Step 2: Convert to fraction form
    9,188.70/12,680.03 = 5,210.09/x
  3. Step 3: Cross multiply
    9,188.70x = 12,680.03 × 5,210.09
  4. Step 4: Simplify right side
    9,188.70x = 66,064,008.05
  5. Step 5: Solve for x
    x = 66,064,008.05/9,188.70
  6. Step 6: Final answer
    x = 7,189.70

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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.