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Finding the Fourth Proportional to 6,312.29, 9,468.45 and 2,801.48

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Solution

The fourth proportional to 6,312.29, 9,468.45 and 2,801.48 is: 4,202.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,312.29 : 9,468.45 = 2,801.48 : x
  2. Step 2: Convert to fraction form
    6,312.29/9,468.45 = 2,801.48/x
  3. Step 3: Cross multiply
    6,312.29x = 9,468.45 × 2,801.48
  4. Step 4: Simplify right side
    6,312.29x = 26,525,625.96
  5. Step 5: Solve for x
    x = 26,525,625.96/6,312.29
  6. Step 6: Final answer
    x = 4,202.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.