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Finding the Fourth Proportional to 6,565.12, 9,059.82 and 3,580.94

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Solution

The fourth proportional to 6,565.12, 9,059.82 and 3,580.94 is: 4,941.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,565.12 : 9,059.82 = 3,580.94 : x
  2. Step 2: Convert to fraction form
    6,565.12/9,059.82 = 3,580.94/x
  3. Step 3: Cross multiply
    6,565.12x = 9,059.82 × 3,580.94
  4. Step 4: Simplify right side
    6,565.12x = 32,442,671.83
  5. Step 5: Solve for x
    x = 32,442,671.83/6,565.12
  6. Step 6: Final answer
    x = 4,941.67

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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.