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Finding the Fourth Proportional to 9,265.38, 13,863.21 and 6,497.46

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Solution

The fourth proportional to 9,265.38, 13,863.21 and 6,497.46 is: 9,721.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,265.38 : 13,863.21 = 6,497.46 : x
  2. Step 2: Convert to fraction form
    9,265.38/13,863.21 = 6,497.46/x
  3. Step 3: Cross multiply
    9,265.38x = 13,863.21 × 6,497.46
  4. Step 4: Simplify right side
    9,265.38x = 90,075,550.64
  5. Step 5: Solve for x
    x = 90,075,550.64/9,265.38
  6. Step 6: Final answer
    x = 9,721.74

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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.