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Finding the Fourth Proportional to 6,069.21, 9,056.21 and 5,697.69

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Solution

The fourth proportional to 6,069.21, 9,056.21 and 5,697.69 is: 8,501.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,069.21 : 9,056.21 = 5,697.69 : x
  2. Step 2: Convert to fraction form
    6,069.21/9,056.21 = 5,697.69/x
  3. Step 3: Cross multiply
    6,069.21x = 9,056.21 × 5,697.69
  4. Step 4: Simplify right side
    6,069.21x = 51,599,477.15
  5. Step 5: Solve for x
    x = 51,599,477.15/6,069.21
  6. Step 6: Final answer
    x = 8,501.84

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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.