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Finding the Fourth Proportional to 9,313.80, 13,970.43 and 3,074.10

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Solution

The fourth proportional to 9,313.80, 13,970.43 and 3,074.10 is: 4,611.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,313.80 : 13,970.43 = 3,074.10 : x
  2. Step 2: Convert to fraction form
    9,313.80/13,970.43 = 3,074.10/x
  3. Step 3: Cross multiply
    9,313.80x = 13,970.43 × 3,074.10
  4. Step 4: Simplify right side
    9,313.80x = 42,946,498.86
  5. Step 5: Solve for x
    x = 42,946,498.86/9,313.80
  6. Step 6: Final answer
    x = 4,611.06

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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.