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Finding the Fourth Proportional to 9,734.09, 13,433.09 and 5,485.20

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Solution

The fourth proportional to 9,734.09, 13,433.09 and 5,485.20 is: 7,569.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,734.09 : 13,433.09 = 5,485.20 : x
  2. Step 2: Convert to fraction form
    9,734.09/13,433.09 = 5,485.20/x
  3. Step 3: Cross multiply
    9,734.09x = 13,433.09 × 5,485.20
  4. Step 4: Simplify right side
    9,734.09x = 73,683,185.27
  5. Step 5: Solve for x
    x = 73,683,185.27/9,734.09
  6. Step 6: Final answer
    x = 7,569.60

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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.