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Finding the Fourth Proportional to 9,394.60, 12,964.57 and 5,415.99

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Solution

The fourth proportional to 9,394.60, 12,964.57 and 5,415.99 is: 7,474.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,394.60 : 12,964.57 = 5,415.99 : x
  2. Step 2: Convert to fraction form
    9,394.60/12,964.57 = 5,415.99/x
  3. Step 3: Cross multiply
    9,394.60x = 12,964.57 × 5,415.99
  4. Step 4: Simplify right side
    9,394.60x = 70,215,889.57
  5. Step 5: Solve for x
    x = 70,215,889.57/9,394.60
  6. Step 6: Final answer
    x = 7,474.07

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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.