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Finding the Fourth Proportional to 9,804.00, 13,529.15 and 5,327.65

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Solution

The fourth proportional to 9,804.00, 13,529.15 and 5,327.65 is: 7,351.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,804.00 : 13,529.15 = 5,327.65 : x
  2. Step 2: Convert to fraction form
    9,804.00/13,529.15 = 5,327.65/x
  3. Step 3: Cross multiply
    9,804.00x = 13,529.15 × 5,327.65
  4. Step 4: Simplify right side
    9,804.00x = 72,078,508.35
  5. Step 5: Solve for x
    x = 72,078,508.35/9,804.00
  6. Step 6: Final answer
    x = 7,351.95

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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.