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Finding the Fourth Proportional to 9,533.53, 13,151.72 and 6,348.29

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Solution

The fourth proportional to 9,533.53, 13,151.72 and 6,348.29 is: 8,757.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,533.53 : 13,151.72 = 6,348.29 : x
  2. Step 2: Convert to fraction form
    9,533.53/13,151.72 = 6,348.29/x
  3. Step 3: Cross multiply
    9,533.53x = 13,151.72 × 6,348.29
  4. Step 4: Simplify right side
    9,533.53x = 83,490,900.82
  5. Step 5: Solve for x
    x = 83,490,900.82/9,533.53
  6. Step 6: Final answer
    x = 8,757.61

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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.