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Finding the Fourth Proportional to 6,561.34, 9,054.64 and 3,577.17

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Solution

The fourth proportional to 6,561.34, 9,054.64 and 3,577.17 is: 4,936.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,561.34 : 9,054.64 = 3,577.17 : x
  2. Step 2: Convert to fraction form
    6,561.34/9,054.64 = 3,577.17/x
  3. Step 3: Cross multiply
    6,561.34x = 9,054.64 × 3,577.17
  4. Step 4: Simplify right side
    6,561.34x = 32,389,986.57
  5. Step 5: Solve for x
    x = 32,389,986.57/6,561.34
  6. Step 6: Final answer
    x = 4,936.49

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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.