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Finding the Fourth Proportional to 9,768.47, 13,482.18 and 5,790.96

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Solution

The fourth proportional to 9,768.47, 13,482.18 and 5,790.96 is: 7,992.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,768.47 : 13,482.18 = 5,790.96 : x
  2. Step 2: Convert to fraction form
    9,768.47/13,482.18 = 5,790.96/x
  3. Step 3: Cross multiply
    9,768.47x = 13,482.18 × 5,790.96
  4. Step 4: Simplify right side
    9,768.47x = 78,074,765.09
  5. Step 5: Solve for x
    x = 78,074,765.09/9,768.47
  6. Step 6: Final answer
    x = 7,992.53

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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.