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Finding the Fourth Proportional to 9,455.93, 13,049.07 and 5,206.90

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Solution

The fourth proportional to 9,455.93, 13,049.07 and 5,206.90 is: 7,185.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,455.93 : 13,049.07 = 5,206.90 : x
  2. Step 2: Convert to fraction form
    9,455.93/13,049.07 = 5,206.90/x
  3. Step 3: Cross multiply
    9,455.93x = 13,049.07 × 5,206.90
  4. Step 4: Simplify right side
    9,455.93x = 67,945,202.58
  5. Step 5: Solve for x
    x = 67,945,202.58/9,455.93
  6. Step 6: Final answer
    x = 7,185.46

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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.