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Finding the Fourth Proportional to 6,197.32, 8,553.62 and 3,714.76

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Solution

The fourth proportional to 6,197.32, 8,553.62 and 3,714.76 is: 5,127.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,197.32 : 8,553.62 = 3,714.76 : x
  2. Step 2: Convert to fraction form
    6,197.32/8,553.62 = 3,714.76/x
  3. Step 3: Cross multiply
    6,197.32x = 8,553.62 × 3,714.76
  4. Step 4: Simplify right side
    6,197.32x = 31,774,645.43
  5. Step 5: Solve for x
    x = 31,774,645.43/6,197.32
  6. Step 6: Final answer
    x = 5,127.16

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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.