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Finding the Fourth Proportional to 9,448.14, 13,037.86 and 5,468.96

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Solution

The fourth proportional to 9,448.14, 13,037.86 and 5,468.96 is: 7,546.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,448.14 : 13,037.86 = 5,468.96 : x
  2. Step 2: Convert to fraction form
    9,448.14/13,037.86 = 5,468.96/x
  3. Step 3: Cross multiply
    9,448.14x = 13,037.86 × 5,468.96
  4. Step 4: Simplify right side
    9,448.14x = 71,303,534.83
  5. Step 5: Solve for x
    x = 71,303,534.83/9,448.14
  6. Step 6: Final answer
    x = 7,546.83

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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.