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Finding the Fourth Proportional to 9,204.81, 13,775.61 and 5,693.46

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Solution

The fourth proportional to 9,204.81, 13,775.61 and 5,693.46 is: 8,520.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,204.81 : 13,775.61 = 5,693.46 : x
  2. Step 2: Convert to fraction form
    9,204.81/13,775.61 = 5,693.46/x
  3. Step 3: Cross multiply
    9,204.81x = 13,775.61 × 5,693.46
  4. Step 4: Simplify right side
    9,204.81x = 78,430,884.51
  5. Step 5: Solve for x
    x = 78,430,884.51/9,204.81
  6. Step 6: Final answer
    x = 8,520.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.