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Finding the Fourth Proportional to 9,013.10, 13,515.60 and 3,464.60

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Solution

The fourth proportional to 9,013.10, 13,515.60 and 3,464.60 is: 5,195.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,013.10 : 13,515.60 = 3,464.60 : x
  2. Step 2: Convert to fraction form
    9,013.10/13,515.60 = 3,464.60/x
  3. Step 3: Cross multiply
    9,013.10x = 13,515.60 × 3,464.60
  4. Step 4: Simplify right side
    9,013.10x = 46,826,147.76
  5. Step 5: Solve for x
    x = 46,826,147.76/9,013.10
  6. Step 6: Final answer
    x = 5,195.34

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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.