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Finding the Fourth Proportional to 9,394.64, 14,087.84 and 4,465.70

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Solution

The fourth proportional to 9,394.64, 14,087.84 and 4,465.70 is: 6,696.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,394.64 : 14,087.84 = 4,465.70 : x
  2. Step 2: Convert to fraction form
    9,394.64/14,087.84 = 4,465.70/x
  3. Step 3: Cross multiply
    9,394.64x = 14,087.84 × 4,465.70
  4. Step 4: Simplify right side
    9,394.64x = 62,912,067.09
  5. Step 5: Solve for x
    x = 62,912,067.09/9,394.64
  6. Step 6: Final answer
    x = 6,696.59

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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.