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Finding the Fourth Proportional to 9,686.26, 13,341.60 and 7,443.87

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Solution

The fourth proportional to 9,686.26, 13,341.60 and 7,443.87 is: 10,252.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,686.26 : 13,341.60 = 7,443.87 : x
  2. Step 2: Convert to fraction form
    9,686.26/13,341.60 = 7,443.87/x
  3. Step 3: Cross multiply
    9,686.26x = 13,341.60 × 7,443.87
  4. Step 4: Simplify right side
    9,686.26x = 99,313,135.99
  5. Step 5: Solve for x
    x = 99,313,135.99/9,686.26
  6. Step 6: Final answer
    x = 10,252.99

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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.