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Finding the Fourth Proportional to 9,713.19, 14,548.73 and 6,016.35

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Solution

The fourth proportional to 9,713.19, 14,548.73 and 6,016.35 is: 9,011.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,713.19 : 14,548.73 = 6,016.35 : x
  2. Step 2: Convert to fraction form
    9,713.19/14,548.73 = 6,016.35/x
  3. Step 3: Cross multiply
    9,713.19x = 14,548.73 × 6,016.35
  4. Step 4: Simplify right side
    9,713.19x = 87,530,221.65
  5. Step 5: Solve for x
    x = 87,530,221.65/9,713.19
  6. Step 6: Final answer
    x = 9,011.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.