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Finding the Fourth Proportional to 9,754.68, 13,461.48 and 5,505.78

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Solution

The fourth proportional to 9,754.68, 13,461.48 and 5,505.78 is: 7,597.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,754.68 : 13,461.48 = 5,505.78 : x
  2. Step 2: Convert to fraction form
    9,754.68/13,461.48 = 5,505.78/x
  3. Step 3: Cross multiply
    9,754.68x = 13,461.48 × 5,505.78
  4. Step 4: Simplify right side
    9,754.68x = 74,115,947.35
  5. Step 5: Solve for x
    x = 74,115,947.35/9,754.68
  6. Step 6: Final answer
    x = 7,597.99

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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.