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Finding the Fourth Proportional to 9,698.12, 14,548.12 and 3,853.42

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Solution

The fourth proportional to 9,698.12, 14,548.12 and 3,853.42 is: 5,780.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,698.12 : 14,548.12 = 3,853.42 : x
  2. Step 2: Convert to fraction form
    9,698.12/14,548.12 = 3,853.42/x
  3. Step 3: Cross multiply
    9,698.12x = 14,548.12 × 3,853.42
  4. Step 4: Simplify right side
    9,698.12x = 56,060,016.57
  5. Step 5: Solve for x
    x = 56,060,016.57/9,698.12
  6. Step 6: Final answer
    x = 5,780.50

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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.