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Finding the Fourth Proportional to 6,467.85, 9,703.29 and 2,085.35

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Solution

The fourth proportional to 6,467.85, 9,703.29 and 2,085.35 is: 3,128.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,467.85 : 9,703.29 = 2,085.35 : x
  2. Step 2: Convert to fraction form
    6,467.85/9,703.29 = 2,085.35/x
  3. Step 3: Cross multiply
    6,467.85x = 9,703.29 × 2,085.35
  4. Step 4: Simplify right side
    6,467.85x = 20,234,715.11
  5. Step 5: Solve for x
    x = 20,234,715.11/6,467.85
  6. Step 6: Final answer
    x = 3,128.51

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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.