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Finding the Fourth Proportional to 9,804.12, 13,529.65 and 5,327.87

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Solution

The fourth proportional to 9,804.12, 13,529.65 and 5,327.87 is: 7,352.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,804.12 : 13,529.65 = 5,327.87 : x
  2. Step 2: Convert to fraction form
    9,804.12/13,529.65 = 5,327.87/x
  3. Step 3: Cross multiply
    9,804.12x = 13,529.65 × 5,327.87
  4. Step 4: Simplify right side
    9,804.12x = 72,084,182.52
  5. Step 5: Solve for x
    x = 72,084,182.52/9,804.12
  6. Step 6: Final answer
    x = 7,352.44

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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.