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Finding the Fourth Proportional to 9,303.29, 13,954.94 and 3,458.33

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Solution

The fourth proportional to 9,303.29, 13,954.94 and 3,458.33 is: 5,187.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,303.29 : 13,954.94 = 3,458.33 : x
  2. Step 2: Convert to fraction form
    9,303.29/13,954.94 = 3,458.33/x
  3. Step 3: Cross multiply
    9,303.29x = 13,954.94 × 3,458.33
  4. Step 4: Simplify right side
    9,303.29x = 48,260,770.36
  5. Step 5: Solve for x
    x = 48,260,770.36/9,303.29
  6. Step 6: Final answer
    x = 5,187.50

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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.