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Finding the Fourth Proportional to 6,564.94, 9,059.78 and 3,581.06

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Solution

The fourth proportional to 6,564.94, 9,059.78 and 3,581.06 is: 4,941.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,564.94 : 9,059.78 = 3,581.06 : x
  2. Step 2: Convert to fraction form
    6,564.94/9,059.78 = 3,581.06/x
  3. Step 3: Cross multiply
    6,564.94x = 9,059.78 × 3,581.06
  4. Step 4: Simplify right side
    6,564.94x = 32,443,552.56
  5. Step 5: Solve for x
    x = 32,443,552.56/6,564.94
  6. Step 6: Final answer
    x = 4,941.94

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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.