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Finding the Fourth Proportional to 9,754.23, 13,460.78 and 5,277.99

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Solution

The fourth proportional to 9,754.23, 13,460.78 and 5,277.99 is: 7,283.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,754.23 : 13,460.78 = 5,277.99 : x
  2. Step 2: Convert to fraction form
    9,754.23/13,460.78 = 5,277.99/x
  3. Step 3: Cross multiply
    9,754.23x = 13,460.78 × 5,277.99
  4. Step 4: Simplify right side
    9,754.23x = 71,045,835.84
  5. Step 5: Solve for x
    x = 71,045,835.84/9,754.23
  6. Step 6: Final answer
    x = 7,283.59

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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.