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Finding the Fourth Proportional to 6,213.98, 8,573.88 and 4,536.30

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Solution

The fourth proportional to 6,213.98, 8,573.88 and 4,536.30 is: 6,259.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,213.98 : 8,573.88 = 4,536.30 : x
  2. Step 2: Convert to fraction form
    6,213.98/8,573.88 = 4,536.30/x
  3. Step 3: Cross multiply
    6,213.98x = 8,573.88 × 4,536.30
  4. Step 4: Simplify right side
    6,213.98x = 38,893,691.84
  5. Step 5: Solve for x
    x = 38,893,691.84/6,213.98
  6. Step 6: Final answer
    x = 6,259.06

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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.