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Finding the Fourth Proportional to 9,283.95, 13,926.57 and 3,737.31

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Solution

The fourth proportional to 9,283.95, 13,926.57 and 3,737.31 is: 5,606.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,283.95 : 13,926.57 = 3,737.31 : x
  2. Step 2: Convert to fraction form
    9,283.95/13,926.57 = 3,737.31/x
  3. Step 3: Cross multiply
    9,283.95x = 13,926.57 × 3,737.31
  4. Step 4: Simplify right side
    9,283.95x = 52,047,843.09
  5. Step 5: Solve for x
    x = 52,047,843.09/9,283.95
  6. Step 6: Final answer
    x = 5,606.22

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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.