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Finding the Fourth Proportional to 9,804.50, 13,530.21 and 5,328.30

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Solution

The fourth proportional to 9,804.50, 13,530.21 and 5,328.30 is: 7,353.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,804.50 : 13,530.21 = 5,328.30 : x
  2. Step 2: Convert to fraction form
    9,804.50/13,530.21 = 5,328.30/x
  3. Step 3: Cross multiply
    9,804.50x = 13,530.21 × 5,328.30
  4. Step 4: Simplify right side
    9,804.50x = 72,093,017.94
  5. Step 5: Solve for x
    x = 72,093,017.94/9,804.50
  6. Step 6: Final answer
    x = 7,353.06

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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.