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Finding the Fourth Proportional to 9,891.28, 13,649.16 and 5,642.32

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Solution

The fourth proportional to 9,891.28, 13,649.16 and 5,642.32 is: 7,785.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,891.28 : 13,649.16 = 5,642.32 : x
  2. Step 2: Convert to fraction form
    9,891.28/13,649.16 = 5,642.32/x
  3. Step 3: Cross multiply
    9,891.28x = 13,649.16 × 5,642.32
  4. Step 4: Simplify right side
    9,891.28x = 77,012,928.45
  5. Step 5: Solve for x
    x = 77,012,928.45/9,891.28
  6. Step 6: Final answer
    x = 7,785.94

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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.