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Finding the Fourth Proportional to 6,317.40, 8,714.16 and 4,193.04

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Solution

The fourth proportional to 6,317.40, 8,714.16 and 4,193.04 is: 5,783.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,317.40 : 8,714.16 = 4,193.04 : x
  2. Step 2: Convert to fraction form
    6,317.40/8,714.16 = 4,193.04/x
  3. Step 3: Cross multiply
    6,317.40x = 8,714.16 × 4,193.04
  4. Step 4: Simplify right side
    6,317.40x = 36,538,821.45
  5. Step 5: Solve for x
    x = 36,538,821.45/6,317.40
  6. Step 6: Final answer
    x = 5,783.84

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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.