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Finding the Fourth Proportional to 6,289.89, 9,377.00 and 5,994.69

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Solution

The fourth proportional to 6,289.89, 9,377.00 and 5,994.69 is: 8,936.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,289.89 : 9,377.00 = 5,994.69 : x
  2. Step 2: Convert to fraction form
    6,289.89/9,377.00 = 5,994.69/x
  3. Step 3: Cross multiply
    6,289.89x = 9,377.00 × 5,994.69
  4. Step 4: Simplify right side
    6,289.89x = 56,212,178.16
  5. Step 5: Solve for x
    x = 56,212,178.16/6,289.89
  6. Step 6: Final answer
    x = 8,936.91

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.