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Finding the Fourth Proportional to 9,360.59, 12,919.83 and 5,384

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Solution

The fourth proportional to 9,360.59, 12,919.83 and 5,384 is: 7,431.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,360.59 : 12,919.83 = 5,384 : x
  2. Step 2: Convert to fraction form
    9,360.59/12,919.83 = 5,384/x
  3. Step 3: Cross multiply
    9,360.59x = 12,919.83 × 5,384
  4. Step 4: Simplify right side
    9,360.59x = 69,560,364.72
  5. Step 5: Solve for x
    x = 69,560,364.72/9,360.59
  6. Step 6: Final answer
    x = 7,431.19

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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.