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Finding the Fourth Proportional to 9,849, 13,591.62 and 5,433

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Solution

The fourth proportional to 9,849, 13,591.62 and 5,433 is: 7,497.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,849 : 13,591.62 = 5,433 : x
  2. Step 2: Convert to fraction form
    9,849/13,591.62 = 5,433/x
  3. Step 3: Cross multiply
    9,849x = 13,591.62 × 5,433
  4. Step 4: Simplify right side
    9,849x = 73,843,271.46
  5. Step 5: Solve for x
    x = 73,843,271.46/9,849
  6. Step 6: Final answer
    x = 7,497.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.