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Finding the Fourth Proportional to 6,569.52, 9,069.66 and 4,555.86

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Solution

The fourth proportional to 6,569.52, 9,069.66 and 4,555.86 is: 6,289.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,569.52 : 9,069.66 = 4,555.86 : x
  2. Step 2: Convert to fraction form
    6,569.52/9,069.66 = 4,555.86/x
  3. Step 3: Cross multiply
    6,569.52x = 9,069.66 × 4,555.86
  4. Step 4: Simplify right side
    6,569.52x = 41,320,101.21
  5. Step 5: Solve for x
    x = 41,320,101.21/6,569.52
  6. Step 6: Final answer
    x = 6,289.67

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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.