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Finding the Fourth Proportional to 27,314.46, 40,937.64 and 9,765

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Solution

The fourth proportional to 27,314.46, 40,937.64 and 9,765 is: 14,635.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,314.46 : 40,937.64 = 9,765 : x
  2. Step 2: Convert to fraction form
    27,314.46/40,937.64 = 9,765/x
  3. Step 3: Cross multiply
    27,314.46x = 40,937.64 × 9,765
  4. Step 4: Simplify right side
    27,314.46x = 399,756,054.60
  5. Step 5: Solve for x
    x = 399,756,054.60/27,314.46
  6. Step 6: Final answer
    x = 14,635.33

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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.