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Finding the Fourth Proportional to 6,680.70, 9,215.34 and 4,412.06

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Solution

The fourth proportional to 6,680.70, 9,215.34 and 4,412.06 is: 6,085.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,680.70 : 9,215.34 = 4,412.06 : x
  2. Step 2: Convert to fraction form
    6,680.70/9,215.34 = 4,412.06/x
  3. Step 3: Cross multiply
    6,680.70x = 9,215.34 × 4,412.06
  4. Step 4: Simplify right side
    6,680.70x = 40,658,633.00
  5. Step 5: Solve for x
    x = 40,658,633.00/6,680.70
  6. Step 6: Final answer
    x = 6,085.98

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