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Finding the Fourth Proportional to 9,803.43, 13,534.43 and 6,452.06

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Solution

The fourth proportional to 9,803.43, 13,534.43 and 6,452.06 is: 8,907.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,803.43 : 13,534.43 = 6,452.06 : x
  2. Step 2: Convert to fraction form
    9,803.43/13,534.43 = 6,452.06/x
  3. Step 3: Cross multiply
    9,803.43x = 13,534.43 × 6,452.06
  4. Step 4: Simplify right side
    9,803.43x = 87,324,854.49
  5. Step 5: Solve for x
    x = 87,324,854.49/9,803.43
  6. Step 6: Final answer
    x = 8,907.58

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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.