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Finding the Fourth Proportional to 9,804.30, 13,529.70 and 5,327.96

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Solution

The fourth proportional to 9,804.30, 13,529.70 and 5,327.96 is: 7,352.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,804.30 : 13,529.70 = 5,327.96 : x
  2. Step 2: Convert to fraction form
    9,804.30/13,529.70 = 5,327.96/x
  3. Step 3: Cross multiply
    9,804.30x = 13,529.70 × 5,327.96
  4. Step 4: Simplify right side
    9,804.30x = 72,085,700.41
  5. Step 5: Solve for x
    x = 72,085,700.41/9,804.30
  6. Step 6: Final answer
    x = 7,352.46

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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.