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Finding the Fourth Proportional to 9,314.71, 13,970.69 and 3,074.93

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Solution

The fourth proportional to 9,314.71, 13,970.69 and 3,074.93 is: 4,611.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,314.71 : 13,970.69 = 3,074.93 : x
  2. Step 2: Convert to fraction form
    9,314.71/13,970.69 = 3,074.93/x
  3. Step 3: Cross multiply
    9,314.71x = 13,970.69 × 3,074.93
  4. Step 4: Simplify right side
    9,314.71x = 42,958,872.49
  5. Step 5: Solve for x
    x = 42,958,872.49/9,314.71
  6. Step 6: Final answer
    x = 4,611.94

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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.