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Finding the Fourth Proportional to 9,546.31, 13,173.74 and 5,354.47

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Solution

The fourth proportional to 9,546.31, 13,173.74 and 5,354.47 is: 7,389.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,546.31 : 13,173.74 = 5,354.47 : x
  2. Step 2: Convert to fraction form
    9,546.31/13,173.74 = 5,354.47/x
  3. Step 3: Cross multiply
    9,546.31x = 13,173.74 × 5,354.47
  4. Step 4: Simplify right side
    9,546.31x = 70,538,329.75
  5. Step 5: Solve for x
    x = 70,538,329.75/9,546.31
  6. Step 6: Final answer
    x = 7,389.07

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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.