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Finding the Fourth Proportional to 9,314.94, 13,973.40 and 3,073.14

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Solution

The fourth proportional to 9,314.94, 13,973.40 and 3,073.14 is: 4,610.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,314.94 : 13,973.40 = 3,073.14 : x
  2. Step 2: Convert to fraction form
    9,314.94/13,973.40 = 3,073.14/x
  3. Step 3: Cross multiply
    9,314.94x = 13,973.40 × 3,073.14
  4. Step 4: Simplify right side
    9,314.94x = 42,942,214.48
  5. Step 5: Solve for x
    x = 42,942,214.48/9,314.94
  6. Step 6: Final answer
    x = 4,610.04

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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.