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Finding the Fourth Proportional to 9,473.50, 13,073.70 and 5,282.02

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Solution

The fourth proportional to 9,473.50, 13,073.70 and 5,282.02 is: 7,289.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,473.50 : 13,073.70 = 5,282.02 : x
  2. Step 2: Convert to fraction form
    9,473.50/13,073.70 = 5,282.02/x
  3. Step 3: Cross multiply
    9,473.50x = 13,073.70 × 5,282.02
  4. Step 4: Simplify right side
    9,473.50x = 69,055,544.87
  5. Step 5: Solve for x
    x = 69,055,544.87/9,473.50
  6. Step 6: Final answer
    x = 7,289.34

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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.