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Finding the Fourth Proportional to 9,384.03, 12,949.92 and 5,406.39

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Solution

The fourth proportional to 9,384.03, 12,949.92 and 5,406.39 is: 7,460.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,384.03 : 12,949.92 = 5,406.39 : x
  2. Step 2: Convert to fraction form
    9,384.03/12,949.92 = 5,406.39/x
  3. Step 3: Cross multiply
    9,384.03x = 12,949.92 × 5,406.39
  4. Step 4: Simplify right side
    9,384.03x = 70,012,317.99
  5. Step 5: Solve for x
    x = 70,012,317.99/9,384.03
  6. Step 6: Final answer
    x = 7,460.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.