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Finding the Fourth Proportional to 10,365.66, 14,245.65 and 9,709.56

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Solution

The fourth proportional to 10,365.66, 14,245.65 and 9,709.56 is: 13,343.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,365.66 : 14,245.65 = 9,709.56 : x
  2. Step 2: Convert to fraction form
    10,365.66/14,245.65 = 9,709.56/x
  3. Step 3: Cross multiply
    10,365.66x = 14,245.65 × 9,709.56
  4. Step 4: Simplify right side
    10,365.66x = 138,318,993.41
  5. Step 5: Solve for x
    x = 138,318,993.41/10,365.66
  6. Step 6: Final answer
    x = 13,343.96

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.