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Finding the Fourth Proportional to 7,115.94, 9,820.02 and 4,131.90

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Solution

The fourth proportional to 7,115.94, 9,820.02 and 4,131.90 is: 5,702.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,115.94 : 9,820.02 = 4,131.90 : x
  2. Step 2: Convert to fraction form
    7,115.94/9,820.02 = 4,131.90/x
  3. Step 3: Cross multiply
    7,115.94x = 9,820.02 × 4,131.90
  4. Step 4: Simplify right side
    7,115.94x = 40,575,340.64
  5. Step 5: Solve for x
    x = 40,575,340.64/7,115.94
  6. Step 6: Final answer
    x = 5,702.04

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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.