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Finding the Fourth Proportional to 6,467.42, 9,702.14 and 2,085.32

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Solution

The fourth proportional to 6,467.42, 9,702.14 and 2,085.32 is: 3,128.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,467.42 : 9,702.14 = 2,085.32 : x
  2. Step 2: Convert to fraction form
    6,467.42/9,702.14 = 2,085.32/x
  3. Step 3: Cross multiply
    6,467.42x = 9,702.14 × 2,085.32
  4. Step 4: Simplify right side
    6,467.42x = 20,232,066.58
  5. Step 5: Solve for x
    x = 20,232,066.58/6,467.42
  6. Step 6: Final answer
    x = 3,128.31

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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.