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Finding the Fourth Proportional to 9,047.20, 12,486.06 and 5,218.96

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Solution

The fourth proportional to 9,047.20, 12,486.06 and 5,218.96 is: 7,202.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,047.20 : 12,486.06 = 5,218.96 : x
  2. Step 2: Convert to fraction form
    9,047.20/12,486.06 = 5,218.96/x
  3. Step 3: Cross multiply
    9,047.20x = 12,486.06 × 5,218.96
  4. Step 4: Simplify right side
    9,047.20x = 65,164,247.70
  5. Step 5: Solve for x
    x = 65,164,247.70/9,047.20
  6. Step 6: Final answer
    x = 7,202.70

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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.