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Finding the Fourth Proportional to 9,377.86, 12,941.30 and 5,128.83

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Solution

The fourth proportional to 9,377.86, 12,941.30 and 5,128.83 is: 7,077.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,377.86 : 12,941.30 = 5,128.83 : x
  2. Step 2: Convert to fraction form
    9,377.86/12,941.30 = 5,128.83/x
  3. Step 3: Cross multiply
    9,377.86x = 12,941.30 × 5,128.83
  4. Step 4: Simplify right side
    9,377.86x = 66,373,662.97
  5. Step 5: Solve for x
    x = 66,373,662.97/9,377.86
  6. Step 6: Final answer
    x = 7,077.70

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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.