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Finding the Fourth Proportional to 6,564.08, 9,056.40 and 3,769.04

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Solution

The fourth proportional to 6,564.08, 9,056.40 and 3,769.04 is: 5,200.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,564.08 : 9,056.40 = 3,769.04 : x
  2. Step 2: Convert to fraction form
    6,564.08/9,056.40 = 3,769.04/x
  3. Step 3: Cross multiply
    6,564.08x = 9,056.40 × 3,769.04
  4. Step 4: Simplify right side
    6,564.08x = 34,133,933.86
  5. Step 5: Solve for x
    x = 34,133,933.86/6,564.08
  6. Step 6: Final answer
    x = 5,200.11

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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.