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Finding the Fourth Proportional to 9,322.43, 12,863.61 and 5,784.35

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Solution

The fourth proportional to 9,322.43, 12,863.61 and 5,784.35 is: 7,981.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,322.43 : 12,863.61 = 5,784.35 : x
  2. Step 2: Convert to fraction form
    9,322.43/12,863.61 = 5,784.35/x
  3. Step 3: Cross multiply
    9,322.43x = 12,863.61 × 5,784.35
  4. Step 4: Simplify right side
    9,322.43x = 74,407,558.19
  5. Step 5: Solve for x
    x = 74,407,558.19/9,322.43
  6. Step 6: Final answer
    x = 7,981.57

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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.