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Finding the Fourth Proportional to 9,829.94, 13,565.23 and 6,847.43

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Solution

The fourth proportional to 9,829.94, 13,565.23 and 6,847.43 is: 9,449.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,829.94 : 13,565.23 = 6,847.43 : x
  2. Step 2: Convert to fraction form
    9,829.94/13,565.23 = 6,847.43/x
  3. Step 3: Cross multiply
    9,829.94x = 13,565.23 × 6,847.43
  4. Step 4: Simplify right side
    9,829.94x = 92,886,877.91
  5. Step 5: Solve for x
    x = 92,886,877.91/9,829.94
  6. Step 6: Final answer
    x = 9,449.39

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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.