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Finding the Fourth Proportional to 9,301.83, 13,954.80 and 3,063.77

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Solution

The fourth proportional to 9,301.83, 13,954.80 and 3,063.77 is: 4,596.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,301.83 : 13,954.80 = 3,063.77 : x
  2. Step 2: Convert to fraction form
    9,301.83/13,954.80 = 3,063.77/x
  3. Step 3: Cross multiply
    9,301.83x = 13,954.80 × 3,063.77
  4. Step 4: Simplify right side
    9,301.83x = 42,754,227.82
  5. Step 5: Solve for x
    x = 42,754,227.82/9,301.83
  6. Step 6: Final answer
    x = 4,596.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.