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Finding the Fourth Proportional to 9,235, 13,852.77 and 2,309.50

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Solution

The fourth proportional to 9,235, 13,852.77 and 2,309.50 is: 3,464.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,235 : 13,852.77 = 2,309.50 : x
  2. Step 2: Convert to fraction form
    9,235/13,852.77 = 2,309.50/x
  3. Step 3: Cross multiply
    9,235x = 13,852.77 × 2,309.50
  4. Step 4: Simplify right side
    9,235x = 31,992,972.32
  5. Step 5: Solve for x
    x = 31,992,972.32/9,235
  6. Step 6: Final answer
    x = 3,464.32

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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.