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Finding the Fourth Proportional to 9,754.77, 13,457.82 and 6,769.11

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Solution

The fourth proportional to 9,754.77, 13,457.82 and 6,769.11 is: 9,338.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,754.77 : 13,457.82 = 6,769.11 : x
  2. Step 2: Convert to fraction form
    9,754.77/13,457.82 = 6,769.11/x
  3. Step 3: Cross multiply
    9,754.77x = 13,457.82 × 6,769.11
  4. Step 4: Simplify right side
    9,754.77x = 91,097,539.79
  5. Step 5: Solve for x
    x = 91,097,539.79/9,754.77
  6. Step 6: Final answer
    x = 9,338.77

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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.