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Finding the Fourth Proportional to 9,277.69, 13,916.69 and 2,704.24

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Solution

The fourth proportional to 9,277.69, 13,916.69 and 2,704.24 is: 4,056.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,277.69 : 13,916.69 = 2,704.24 : x
  2. Step 2: Convert to fraction form
    9,277.69/13,916.69 = 2,704.24/x
  3. Step 3: Cross multiply
    9,277.69x = 13,916.69 × 2,704.24
  4. Step 4: Simplify right side
    9,277.69x = 37,634,069.77
  5. Step 5: Solve for x
    x = 37,634,069.77/9,277.69
  6. Step 6: Final answer
    x = 4,056.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.