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Finding the Fourth Proportional to 7,001.91, 9,664.38 and 4,877.78

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Solution

The fourth proportional to 7,001.91, 9,664.38 and 4,877.78 is: 6,732.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,001.91 : 9,664.38 = 4,877.78 : x
  2. Step 2: Convert to fraction form
    7,001.91/9,664.38 = 4,877.78/x
  3. Step 3: Cross multiply
    7,001.91x = 9,664.38 × 4,877.78
  4. Step 4: Simplify right side
    7,001.91x = 47,140,671.15
  5. Step 5: Solve for x
    x = 47,140,671.15/7,001.91
  6. Step 6: Final answer
    x = 6,732.54

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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.