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Finding the Fourth Proportional to 9,094.88, 12,550.82 and 5,116

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Solution

The fourth proportional to 9,094.88, 12,550.82 and 5,116 is: 7,060.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,094.88 : 12,550.82 = 5,116 : x
  2. Step 2: Convert to fraction form
    9,094.88/12,550.82 = 5,116/x
  3. Step 3: Cross multiply
    9,094.88x = 12,550.82 × 5,116
  4. Step 4: Simplify right side
    9,094.88x = 64,209,995.12
  5. Step 5: Solve for x
    x = 64,209,995.12/9,094.88
  6. Step 6: Final answer
    x = 7,060.02

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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.