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Finding the Fourth Proportional to 6,303.12, 8,702.94 and 4,066.30

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Solution

The fourth proportional to 6,303.12, 8,702.94 and 4,066.30 is: 5,614.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,303.12 : 8,702.94 = 4,066.30 : x
  2. Step 2: Convert to fraction form
    6,303.12/8,702.94 = 4,066.30/x
  3. Step 3: Cross multiply
    6,303.12x = 8,702.94 × 4,066.30
  4. Step 4: Simplify right side
    6,303.12x = 35,388,791.05
  5. Step 5: Solve for x
    x = 35,388,791.05/6,303.12
  6. Step 6: Final answer
    x = 5,614.49

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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.