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Finding the Fourth Proportional to 9,283.05, 13,926.93 and 2,709.21

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Solution

The fourth proportional to 9,283.05, 13,926.93 and 2,709.21 is: 4,064.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,283.05 : 13,926.93 = 2,709.21 : x
  2. Step 2: Convert to fraction form
    9,283.05/13,926.93 = 2,709.21/x
  3. Step 3: Cross multiply
    9,283.05x = 13,926.93 × 2,709.21
  4. Step 4: Simplify right side
    9,283.05x = 37,730,978.03
  5. Step 5: Solve for x
    x = 37,730,978.03/9,283.05
  6. Step 6: Final answer
    x = 4,064.50

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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.