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Finding the Fourth Proportional to 9,292.77, 12,823.56 and 5,516.10

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Solution

The fourth proportional to 9,292.77, 12,823.56 and 5,516.10 is: 7,611.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,292.77 : 12,823.56 = 5,516.10 : x
  2. Step 2: Convert to fraction form
    9,292.77/12,823.56 = 5,516.10/x
  3. Step 3: Cross multiply
    9,292.77x = 12,823.56 × 5,516.10
  4. Step 4: Simplify right side
    9,292.77x = 70,736,039.32
  5. Step 5: Solve for x
    x = 70,736,039.32/9,292.77
  6. Step 6: Final answer
    x = 7,611.94

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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.