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Finding the Fourth Proportional to 9,764.47, 13,474.91 and 5,288.12

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Solution

The fourth proportional to 9,764.47, 13,474.91 and 5,288.12 is: 7,297.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,764.47 : 13,474.91 = 5,288.12 : x
  2. Step 2: Convert to fraction form
    9,764.47/13,474.91 = 5,288.12/x
  3. Step 3: Cross multiply
    9,764.47x = 13,474.91 × 5,288.12
  4. Step 4: Simplify right side
    9,764.47x = 71,256,941.07
  5. Step 5: Solve for x
    x = 71,256,941.07/9,764.47
  6. Step 6: Final answer
    x = 7,297.57

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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.