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Finding the Fourth Proportional to 9,350.64, 13,991.31 and 7,496.15

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Solution

The fourth proportional to 9,350.64, 13,991.31 and 7,496.15 is: 11,216.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,350.64 : 13,991.31 = 7,496.15 : x
  2. Step 2: Convert to fraction form
    9,350.64/13,991.31 = 7,496.15/x
  3. Step 3: Cross multiply
    9,350.64x = 13,991.31 × 7,496.15
  4. Step 4: Simplify right side
    9,350.64x = 104,880,888.50
  5. Step 5: Solve for x
    x = 104,880,888.50/9,350.64
  6. Step 6: Final answer
    x = 11,216.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.