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Finding the Fourth Proportional to 9,763, 13,475.37 and 5,573.68

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Solution

The fourth proportional to 9,763, 13,475.37 and 5,573.68 is: 7,693.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,763 : 13,475.37 = 5,573.68 : x
  2. Step 2: Convert to fraction form
    9,763/13,475.37 = 5,573.68/x
  3. Step 3: Cross multiply
    9,763x = 13,475.37 × 5,573.68
  4. Step 4: Simplify right side
    9,763x = 75,107,400.26
  5. Step 5: Solve for x
    x = 75,107,400.26/9,763
  6. Step 6: Final answer
    x = 7,693.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.