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Finding the Fourth Proportional to 6,424.16, 9,636.34 and 2,264.21

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Solution

The fourth proportional to 6,424.16, 9,636.34 and 2,264.21 is: 3,396.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,424.16 : 9,636.34 = 2,264.21 : x
  2. Step 2: Convert to fraction form
    6,424.16/9,636.34 = 2,264.21/x
  3. Step 3: Cross multiply
    6,424.16x = 9,636.34 × 2,264.21
  4. Step 4: Simplify right side
    6,424.16x = 21,818,686.07
  5. Step 5: Solve for x
    x = 21,818,686.07/6,424.16
  6. Step 6: Final answer
    x = 3,396.35

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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.