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Finding the Fourth Proportional to 9,377.80, 12,941.46 and 5,186.20

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Solution

The fourth proportional to 9,377.80, 12,941.46 and 5,186.20 is: 7,157.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,377.80 : 12,941.46 = 5,186.20 : x
  2. Step 2: Convert to fraction form
    9,377.80/12,941.46 = 5,186.20/x
  3. Step 3: Cross multiply
    9,377.80x = 12,941.46 × 5,186.20
  4. Step 4: Simplify right side
    9,377.80x = 67,116,999.85
  5. Step 5: Solve for x
    x = 67,116,999.85/9,377.80
  6. Step 6: Final answer
    x = 7,157.01

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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.