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Finding the Fourth Proportional to 9,671.81, 13,346.32 and 5,422.29

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Solution

The fourth proportional to 9,671.81, 13,346.32 and 5,422.29 is: 7,482.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,671.81 : 13,346.32 = 5,422.29 : x
  2. Step 2: Convert to fraction form
    9,671.81/13,346.32 = 5,422.29/x
  3. Step 3: Cross multiply
    9,671.81x = 13,346.32 × 5,422.29
  4. Step 4: Simplify right side
    9,671.81x = 72,367,645.32
  5. Step 5: Solve for x
    x = 72,367,645.32/9,671.81
  6. Step 6: Final answer
    x = 7,482.33

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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.