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Finding the Fourth Proportional to 9,672.14, 13,346.75 and 5,422.20

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Solution

The fourth proportional to 9,672.14, 13,346.75 and 5,422.20 is: 7,482.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,672.14 : 13,346.75 = 5,422.20 : x
  2. Step 2: Convert to fraction form
    9,672.14/13,346.75 = 5,422.20/x
  3. Step 3: Cross multiply
    9,672.14x = 13,346.75 × 5,422.20
  4. Step 4: Simplify right side
    9,672.14x = 72,368,720.74
  5. Step 5: Solve for x
    x = 72,368,720.74/9,672.14
  6. Step 6: Final answer
    x = 7,482.19

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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.