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Finding the Fourth Proportional to 9,651.85, 13,325.57 and 7,409.26

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Solution

The fourth proportional to 9,651.85, 13,325.57 and 7,409.26 is: 10,229.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,651.85 : 13,325.57 = 7,409.26 : x
  2. Step 2: Convert to fraction form
    9,651.85/13,325.57 = 7,409.26/x
  3. Step 3: Cross multiply
    9,651.85x = 13,325.57 × 7,409.26
  4. Step 4: Simplify right side
    9,651.85x = 98,732,509.10
  5. Step 5: Solve for x
    x = 98,732,509.10/9,651.85
  6. Step 6: Final answer
    x = 10,229.39

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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.