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Finding the Fourth Proportional to 9,849.93, 13,589.95 and 6,491.54

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Solution

The fourth proportional to 9,849.93, 13,589.95 and 6,491.54 is: 8,956.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,849.93 : 13,589.95 = 6,491.54 : x
  2. Step 2: Convert to fraction form
    9,849.93/13,589.95 = 6,491.54/x
  3. Step 3: Cross multiply
    9,849.93x = 13,589.95 × 6,491.54
  4. Step 4: Simplify right side
    9,849.93x = 88,219,704.02
  5. Step 5: Solve for x
    x = 88,219,704.02/9,849.93
  6. Step 6: Final answer
    x = 8,956.38

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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.