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Finding the Fourth Proportional to 9,302.44, 13,950.78 and 3,145

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Solution

The fourth proportional to 9,302.44, 13,950.78 and 3,145 is: 4,716.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,302.44 : 13,950.78 = 3,145 : x
  2. Step 2: Convert to fraction form
    9,302.44/13,950.78 = 3,145/x
  3. Step 3: Cross multiply
    9,302.44x = 13,950.78 × 3,145
  4. Step 4: Simplify right side
    9,302.44x = 43,875,203.10
  5. Step 5: Solve for x
    x = 43,875,203.10/9,302.44
  6. Step 6: Final answer
    x = 4,716.53

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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.