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Finding the Fourth Proportional to 6,536.50, 9,027.80 and 4,436.98

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Solution

The fourth proportional to 6,536.50, 9,027.80 and 4,436.98 is: 6,128.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,536.50 : 9,027.80 = 4,436.98 : x
  2. Step 2: Convert to fraction form
    6,536.50/9,027.80 = 4,436.98/x
  3. Step 3: Cross multiply
    6,536.50x = 9,027.80 × 4,436.98
  4. Step 4: Simplify right side
    6,536.50x = 40,056,168.04
  5. Step 5: Solve for x
    x = 40,056,168.04/6,536.50
  6. Step 6: Final answer
    x = 6,128.08

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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.