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Finding the Fourth Proportional to 9,463.25, 13,059.69 and 5,271.50

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Solution

The fourth proportional to 9,463.25, 13,059.69 and 5,271.50 is: 7,274.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,463.25 : 13,059.69 = 5,271.50 : x
  2. Step 2: Convert to fraction form
    9,463.25/13,059.69 = 5,271.50/x
  3. Step 3: Cross multiply
    9,463.25x = 13,059.69 × 5,271.50
  4. Step 4: Simplify right side
    9,463.25x = 68,844,155.84
  5. Step 5: Solve for x
    x = 68,844,155.84/9,463.25
  6. Step 6: Final answer
    x = 7,274.90

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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.