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Finding the Fourth Proportional to 9,670.44, 14,491.97 and 4,118.19

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Solution

The fourth proportional to 9,670.44, 14,491.97 and 4,118.19 is: 6,171.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,670.44 : 14,491.97 = 4,118.19 : x
  2. Step 2: Convert to fraction form
    9,670.44/14,491.97 = 4,118.19/x
  3. Step 3: Cross multiply
    9,670.44x = 14,491.97 × 4,118.19
  4. Step 4: Simplify right side
    9,670.44x = 59,680,665.34
  5. Step 5: Solve for x
    x = 59,680,665.34/9,670.44
  6. Step 6: Final answer
    x = 6,171.45

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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.