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Finding the Fourth Proportional to 6,233.71, 8,598.72 and 3,714.16

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Solution

The fourth proportional to 6,233.71, 8,598.72 and 3,714.16 is: 5,123.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,233.71 : 8,598.72 = 3,714.16 : x
  2. Step 2: Convert to fraction form
    6,233.71/8,598.72 = 3,714.16/x
  3. Step 3: Cross multiply
    6,233.71x = 8,598.72 × 3,714.16
  4. Step 4: Simplify right side
    6,233.71x = 31,937,021.88
  5. Step 5: Solve for x
    x = 31,937,021.88/6,233.71
  6. Step 6: Final answer
    x = 5,123.28

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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.