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Finding the Fourth Proportional to 9,414.36, 12,966.86 and 7,016.65

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Solution

The fourth proportional to 9,414.36, 12,966.86 and 7,016.65 is: 9,664.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,414.36 : 12,966.86 = 7,016.65 : x
  2. Step 2: Convert to fraction form
    9,414.36/12,966.86 = 7,016.65/x
  3. Step 3: Cross multiply
    9,414.36x = 12,966.86 × 7,016.65
  4. Step 4: Simplify right side
    9,414.36x = 90,983,903.34
  5. Step 5: Solve for x
    x = 90,983,903.34/9,414.36
  6. Step 6: Final answer
    x = 9,664.37

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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.