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Finding the Fourth Proportional to 6,283.56, 9,456.87 and 4,731.60

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Solution

The fourth proportional to 6,283.56, 9,456.87 and 4,731.60 is: 7,121.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,283.56 : 9,456.87 = 4,731.60 : x
  2. Step 2: Convert to fraction form
    6,283.56/9,456.87 = 4,731.60/x
  3. Step 3: Cross multiply
    6,283.56x = 9,456.87 × 4,731.60
  4. Step 4: Simplify right side
    6,283.56x = 44,746,126.09
  5. Step 5: Solve for x
    x = 44,746,126.09/6,283.56
  6. Step 6: Final answer
    x = 7,121.14

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.