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Finding the Fourth Proportional to 9,804.96, 13,529.84 and 6,028.34

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Solution

The fourth proportional to 9,804.96, 13,529.84 and 6,028.34 is: 8,318.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,804.96 : 13,529.84 = 6,028.34 : x
  2. Step 2: Convert to fraction form
    9,804.96/13,529.84 = 6,028.34/x
  3. Step 3: Cross multiply
    9,804.96x = 13,529.84 × 6,028.34
  4. Step 4: Simplify right side
    9,804.96x = 81,562,475.67
  5. Step 5: Solve for x
    x = 81,562,475.67/9,804.96
  6. Step 6: Final answer
    x = 8,318.49

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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.