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Finding the Fourth Proportional to 6,605.42, 9,127.56 and 4,809.78

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Solution

The fourth proportional to 6,605.42, 9,127.56 and 4,809.78 is: 6,646.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,605.42 : 9,127.56 = 4,809.78 : x
  2. Step 2: Convert to fraction form
    6,605.42/9,127.56 = 4,809.78/x
  3. Step 3: Cross multiply
    6,605.42x = 9,127.56 × 4,809.78
  4. Step 4: Simplify right side
    6,605.42x = 43,901,485.85
  5. Step 5: Solve for x
    x = 43,901,485.85/6,605.42
  6. Step 6: Final answer
    x = 6,646.29

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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.