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Finding the Fourth Proportional to 9,427.58, 13,018.74 and 6,076.15

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Solution

The fourth proportional to 9,427.58, 13,018.74 and 6,076.15 is: 8,390.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,427.58 : 13,018.74 = 6,076.15 : x
  2. Step 2: Convert to fraction form
    9,427.58/13,018.74 = 6,076.15/x
  3. Step 3: Cross multiply
    9,427.58x = 13,018.74 × 6,076.15
  4. Step 4: Simplify right side
    9,427.58x = 79,103,817.05
  5. Step 5: Solve for x
    x = 79,103,817.05/9,427.58
  6. Step 6: Final answer
    x = 8,390.68

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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.