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Finding the Fourth Proportional to 6,826.75, 9,421.63 and 4,175.93

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Solution

The fourth proportional to 6,826.75, 9,421.63 and 4,175.93 is: 5,763.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,826.75 : 9,421.63 = 4,175.93 : x
  2. Step 2: Convert to fraction form
    6,826.75/9,421.63 = 4,175.93/x
  3. Step 3: Cross multiply
    6,826.75x = 9,421.63 × 4,175.93
  4. Step 4: Simplify right side
    6,826.75x = 39,344,009.82
  5. Step 5: Solve for x
    x = 39,344,009.82/6,826.75
  6. Step 6: Final answer
    x = 5,763.21

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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.