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Finding the Fourth Proportional to 9,463.56, 13,059.74 and 5,485.44

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Solution

The fourth proportional to 9,463.56, 13,059.74 and 5,485.44 is: 7,569.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,463.56 : 13,059.74 = 5,485.44 : x
  2. Step 2: Convert to fraction form
    9,463.56/13,059.74 = 5,485.44/x
  3. Step 3: Cross multiply
    9,463.56x = 13,059.74 × 5,485.44
  4. Step 4: Simplify right side
    9,463.56x = 71,638,420.19
  5. Step 5: Solve for x
    x = 71,638,420.19/9,463.56
  6. Step 6: Final answer
    x = 7,569.92

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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.