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Finding the Fourth Proportional to 7,121.96, 9,820.76 and 4,887.12

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Solution

The fourth proportional to 7,121.96, 9,820.76 and 4,887.12 is: 6,739.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,121.96 : 9,820.76 = 4,887.12 : x
  2. Step 2: Convert to fraction form
    7,121.96/9,820.76 = 4,887.12/x
  3. Step 3: Cross multiply
    7,121.96x = 9,820.76 × 4,887.12
  4. Step 4: Simplify right side
    7,121.96x = 47,995,232.61
  5. Step 5: Solve for x
    x = 47,995,232.61/7,121.96
  6. Step 6: Final answer
    x = 6,739.05

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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.