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Finding the Fourth Proportional to 9,414.58, 14,094.13 and 8,246.87

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Solution

The fourth proportional to 9,414.58, 14,094.13 and 8,246.87 is: 12,346.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,414.58 : 14,094.13 = 8,246.87 : x
  2. Step 2: Convert to fraction form
    9,414.58/14,094.13 = 8,246.87/x
  3. Step 3: Cross multiply
    9,414.58x = 14,094.13 × 8,246.87
  4. Step 4: Simplify right side
    9,414.58x = 116,232,387.40
  5. Step 5: Solve for x
    x = 116,232,387.40/9,414.58
  6. Step 6: Final answer
    x = 12,346.00

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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.