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Finding the Fourth Proportional to 6,404.70, 9,587.85 and 5,636.70

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Solution

The fourth proportional to 6,404.70, 9,587.85 and 5,636.70 is: 8,438.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,404.70 : 9,587.85 = 5,636.70 : x
  2. Step 2: Convert to fraction form
    6,404.70/9,587.85 = 5,636.70/x
  3. Step 3: Cross multiply
    6,404.70x = 9,587.85 × 5,636.70
  4. Step 4: Simplify right side
    6,404.70x = 54,043,834.10
  5. Step 5: Solve for x
    x = 54,043,834.10/6,404.70
  6. Step 6: Final answer
    x = 8,438.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.