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Finding the Fourth Proportional to 9,525.69, 13,145.94 and 5,277.21

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Solution

The fourth proportional to 9,525.69, 13,145.94 and 5,277.21 is: 7,282.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,525.69 : 13,145.94 = 5,277.21 : x
  2. Step 2: Convert to fraction form
    9,525.69/13,145.94 = 5,277.21/x
  3. Step 3: Cross multiply
    9,525.69x = 13,145.94 × 5,277.21
  4. Step 4: Simplify right side
    9,525.69x = 69,373,886.03
  5. Step 5: Solve for x
    x = 69,373,886.03/9,525.69
  6. Step 6: Final answer
    x = 7,282.82

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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.