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Finding the Fourth Proportional to 9,673.12, 13,348.08 and 6,533.56

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Solution

The fourth proportional to 9,673.12, 13,348.08 and 6,533.56 is: 9,015.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,673.12 : 13,348.08 = 6,533.56 : x
  2. Step 2: Convert to fraction form
    9,673.12/13,348.08 = 6,533.56/x
  3. Step 3: Cross multiply
    9,673.12x = 13,348.08 × 6,533.56
  4. Step 4: Simplify right side
    9,673.12x = 87,210,481.56
  5. Step 5: Solve for x
    x = 87,210,481.56/9,673.12
  6. Step 6: Final answer
    x = 9,015.76

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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.