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Finding the Fourth Proportional to 6,266.89, 9,431.71 and 4,714.93

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Solution

The fourth proportional to 6,266.89, 9,431.71 and 4,714.93 is: 7,096.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,266.89 : 9,431.71 = 4,714.93 : x
  2. Step 2: Convert to fraction form
    6,266.89/9,431.71 = 4,714.93/x
  3. Step 3: Cross multiply
    6,266.89x = 9,431.71 × 4,714.93
  4. Step 4: Simplify right side
    6,266.89x = 44,469,852.43
  5. Step 5: Solve for x
    x = 44,469,852.43/6,266.89
  6. Step 6: Final answer
    x = 7,096.00

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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.