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Finding the Fourth Proportional to 9,364.77, 12,922.07 and 5,384.43

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Solution

The fourth proportional to 9,364.77, 12,922.07 and 5,384.43 is: 7,429.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,364.77 : 12,922.07 = 5,384.43 : x
  2. Step 2: Convert to fraction form
    9,364.77/12,922.07 = 5,384.43/x
  3. Step 3: Cross multiply
    9,364.77x = 12,922.07 × 5,384.43
  4. Step 4: Simplify right side
    9,364.77x = 69,577,954.45
  5. Step 5: Solve for x
    x = 69,577,954.45/9,364.77
  6. Step 6: Final answer
    x = 7,429.76

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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.