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Finding the Fourth Proportional to 9,025.74, 13,534.31 and 5,278.58

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Solution

The fourth proportional to 9,025.74, 13,534.31 and 5,278.58 is: 7,915.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,025.74 : 13,534.31 = 5,278.58 : x
  2. Step 2: Convert to fraction form
    9,025.74/13,534.31 = 5,278.58/x
  3. Step 3: Cross multiply
    9,025.74x = 13,534.31 × 5,278.58
  4. Step 4: Simplify right side
    9,025.74x = 71,441,844.02
  5. Step 5: Solve for x
    x = 71,441,844.02/9,025.74
  6. Step 6: Final answer
    x = 7,915.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.