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Finding the Fourth Proportional to 9,394.56, 14,096.88 and 4,461.12

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Solution

The fourth proportional to 9,394.56, 14,096.88 and 4,461.12 is: 6,694.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,394.56 : 14,096.88 = 4,461.12 : x
  2. Step 2: Convert to fraction form
    9,394.56/14,096.88 = 4,461.12/x
  3. Step 3: Cross multiply
    9,394.56x = 14,096.88 × 4,461.12
  4. Step 4: Simplify right side
    9,394.56x = 62,887,873.31
  5. Step 5: Solve for x
    x = 62,887,873.31/9,394.56
  6. Step 6: Final answer
    x = 6,694.07

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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.