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Finding the Fourth Proportional to 10,074.81, 13,903.62 and 6,894.75

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Solution

The fourth proportional to 10,074.81, 13,903.62 and 6,894.75 is: 9,515.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,074.81 : 13,903.62 = 6,894.75 : x
  2. Step 2: Convert to fraction form
    10,074.81/13,903.62 = 6,894.75/x
  3. Step 3: Cross multiply
    10,074.81x = 13,903.62 × 6,894.75
  4. Step 4: Simplify right side
    10,074.81x = 95,861,984.00
  5. Step 5: Solve for x
    x = 95,861,984.00/10,074.81
  6. Step 6: Final answer
    x = 9,515.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.