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Finding the Fourth Proportional to 6,564.69, 9,059.45 and 4,012.85

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Solution

The fourth proportional to 6,564.69, 9,059.45 and 4,012.85 is: 5,537.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,564.69 : 9,059.45 = 4,012.85 : x
  2. Step 2: Convert to fraction form
    6,564.69/9,059.45 = 4,012.85/x
  3. Step 3: Cross multiply
    6,564.69x = 9,059.45 × 4,012.85
  4. Step 4: Simplify right side
    6,564.69x = 36,354,216.52
  5. Step 5: Solve for x
    x = 36,354,216.52/6,564.69
  6. Step 6: Final answer
    x = 5,537.84

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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.