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Finding the Fourth Proportional to 6,700.26, 9,246.50 and 3,716.00

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Solution

The fourth proportional to 6,700.26, 9,246.50 and 3,716.00 is: 5,128.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,700.26 : 9,246.50 = 3,716.00 : x
  2. Step 2: Convert to fraction form
    6,700.26/9,246.50 = 3,716.00/x
  3. Step 3: Cross multiply
    6,700.26x = 9,246.50 × 3,716.00
  4. Step 4: Simplify right side
    6,700.26x = 34,359,957.06
  5. Step 5: Solve for x
    x = 34,359,957.06/6,700.26
  6. Step 6: Final answer
    x = 5,128.15

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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.