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Finding the Fourth Proportional to 9,402.66, 12,971.25 and 5,422.32

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Solution

The fourth proportional to 9,402.66, 12,971.25 and 5,422.32 is: 7,480.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,402.66 : 12,971.25 = 5,422.32 : x
  2. Step 2: Convert to fraction form
    9,402.66/12,971.25 = 5,422.32/x
  3. Step 3: Cross multiply
    9,402.66x = 12,971.25 × 5,422.32
  4. Step 4: Simplify right side
    9,402.66x = 70,334,268.30
  5. Step 5: Solve for x
    x = 70,334,268.30/9,402.66
  6. Step 6: Final answer
    x = 7,480.25

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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.