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Finding the Fourth Proportional to 9,388.31, 12,955.14 and 5,406.75

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Solution

The fourth proportional to 9,388.31, 12,955.14 and 5,406.75 is: 7,460.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,388.31 : 12,955.14 = 5,406.75 : x
  2. Step 2: Convert to fraction form
    9,388.31/12,955.14 = 5,406.75/x
  3. Step 3: Cross multiply
    9,388.31x = 12,955.14 × 5,406.75
  4. Step 4: Simplify right side
    9,388.31x = 70,045,203.20
  5. Step 5: Solve for x
    x = 70,045,203.20/9,388.31
  6. Step 6: Final answer
    x = 7,460.90

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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.