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Finding the Fourth Proportional to 9,187.37, 12,680.33 and 5,208.50

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Solution

The fourth proportional to 9,187.37, 12,680.33 and 5,208.50 is: 7,188.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,187.37 : 12,680.33 = 5,208.50 : x
  2. Step 2: Convert to fraction form
    9,187.37/12,680.33 = 5,208.50/x
  3. Step 3: Cross multiply
    9,187.37x = 12,680.33 × 5,208.50
  4. Step 4: Simplify right side
    9,187.37x = 66,045,435.40
  5. Step 5: Solve for x
    x = 66,045,435.40/9,187.37
  6. Step 6: Final answer
    x = 7,188.72

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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.