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Finding the Fourth Proportional to 6,699.71, 9,245.59 and 3,716.00

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Solution

The fourth proportional to 6,699.71, 9,245.59 and 3,716.00 is: 5,128.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,699.71 : 9,245.59 = 3,716.00 : x
  2. Step 2: Convert to fraction form
    6,699.71/9,245.59 = 3,716.00/x
  3. Step 3: Cross multiply
    6,699.71x = 9,245.59 × 3,716.00
  4. Step 4: Simplify right side
    6,699.71x = 34,356,566.21
  5. Step 5: Solve for x
    x = 34,356,566.21/6,699.71
  6. Step 6: Final answer
    x = 5,128.07

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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.