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Finding the Fourth Proportional to 9,265.36, 13,902.72 and 4,648

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Solution

The fourth proportional to 9,265.36, 13,902.72 and 4,648 is: 6,974.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,265.36 : 13,902.72 = 4,648 : x
  2. Step 2: Convert to fraction form
    9,265.36/13,902.72 = 4,648/x
  3. Step 3: Cross multiply
    9,265.36x = 13,902.72 × 4,648
  4. Step 4: Simplify right side
    9,265.36x = 64,619,842.56
  5. Step 5: Solve for x
    x = 64,619,842.56/9,265.36
  6. Step 6: Final answer
    x = 6,974.35

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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.