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Finding the Fourth Proportional to 6,564.96, 9,056.77 and 4,439.74

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Solution

The fourth proportional to 6,564.96, 9,056.77 and 4,439.74 is: 6,124.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,564.96 : 9,056.77 = 4,439.74 : x
  2. Step 2: Convert to fraction form
    6,564.96/9,056.77 = 4,439.74/x
  3. Step 3: Cross multiply
    6,564.96x = 9,056.77 × 4,439.74
  4. Step 4: Simplify right side
    6,564.96x = 40,209,704.04
  5. Step 5: Solve for x
    x = 40,209,704.04/6,564.96
  6. Step 6: Final answer
    x = 6,124.90

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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.