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Finding the Fourth Proportional to 6,857.12, 9,459.76 and 4,024.72

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Solution

The fourth proportional to 6,857.12, 9,459.76 and 4,024.72 is: 5,552.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,857.12 : 9,459.76 = 4,024.72 : x
  2. Step 2: Convert to fraction form
    6,857.12/9,459.76 = 4,024.72/x
  3. Step 3: Cross multiply
    6,857.12x = 9,459.76 × 4,024.72
  4. Step 4: Simplify right side
    6,857.12x = 38,072,885.27
  5. Step 5: Solve for x
    x = 38,072,885.27/6,857.12
  6. Step 6: Final answer
    x = 5,552.31

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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.