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Finding the Fourth Proportional to 10,435.45, 14,406.47 and 7,096.09

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Solution

The fourth proportional to 10,435.45, 14,406.47 and 7,096.09 is: 9,796.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,435.45 : 14,406.47 = 7,096.09 : x
  2. Step 2: Convert to fraction form
    10,435.45/14,406.47 = 7,096.09/x
  3. Step 3: Cross multiply
    10,435.45x = 14,406.47 × 7,096.09
  4. Step 4: Simplify right side
    10,435.45x = 102,229,572.22
  5. Step 5: Solve for x
    x = 102,229,572.22/10,435.45
  6. Step 6: Final answer
    x = 9,796.37

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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.