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Finding the Fourth Proportional to 9,686.22, 13,341.52 and 7,443.80

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Solution

The fourth proportional to 9,686.22, 13,341.52 and 7,443.80 is: 10,252.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,686.22 : 13,341.52 = 7,443.80 : x
  2. Step 2: Convert to fraction form
    9,686.22/13,341.52 = 7,443.80/x
  3. Step 3: Cross multiply
    9,686.22x = 13,341.52 × 7,443.80
  4. Step 4: Simplify right side
    9,686.22x = 99,311,649.23
  5. Step 5: Solve for x
    x = 99,311,649.23/9,686.22
  6. Step 6: Final answer
    x = 10,252.88

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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.