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Finding the Fourth Proportional to 9,773.34, 14,606.34 and 7,146.36

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Solution

The fourth proportional to 9,773.34, 14,606.34 and 7,146.36 is: 10,680.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,773.34 : 14,606.34 = 7,146.36 : x
  2. Step 2: Convert to fraction form
    9,773.34/14,606.34 = 7,146.36/x
  3. Step 3: Cross multiply
    9,773.34x = 14,606.34 × 7,146.36
  4. Step 4: Simplify right side
    9,773.34x = 104,382,163.92
  5. Step 5: Solve for x
    x = 104,382,163.92/9,773.34
  6. Step 6: Final answer
    x = 10,680.30

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.