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Finding the Fourth Proportional to 9,293.84, 12,824.64 and 5,516.35

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Solution

The fourth proportional to 9,293.84, 12,824.64 and 5,516.35 is: 7,612.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,293.84 : 12,824.64 = 5,516.35 : x
  2. Step 2: Convert to fraction form
    9,293.84/12,824.64 = 5,516.35/x
  3. Step 3: Cross multiply
    9,293.84x = 12,824.64 × 5,516.35
  4. Step 4: Simplify right side
    9,293.84x = 70,745,202.86
  5. Step 5: Solve for x
    x = 70,745,202.86/9,293.84
  6. Step 6: Final answer
    x = 7,612.06

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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.