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Finding the Fourth Proportional to 9,671.28, 13,346.82 and 5,422.02

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Solution

The fourth proportional to 9,671.28, 13,346.82 and 5,422.02 is: 7,482.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,671.28 : 13,346.82 = 5,422.02 : x
  2. Step 2: Convert to fraction form
    9,671.28/13,346.82 = 5,422.02/x
  3. Step 3: Cross multiply
    9,671.28x = 13,346.82 × 5,422.02
  4. Step 4: Simplify right side
    9,671.28x = 72,366,724.98
  5. Step 5: Solve for x
    x = 72,366,724.98/9,671.28
  6. Step 6: Final answer
    x = 7,482.64

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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.