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Finding the Fourth Proportional to 6,917.00, 9,528.84 and 5,716.98

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Solution

The fourth proportional to 6,917.00, 9,528.84 and 5,716.98 is: 7,875.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,917.00 : 9,528.84 = 5,716.98 : x
  2. Step 2: Convert to fraction form
    6,917.00/9,528.84 = 5,716.98/x
  3. Step 3: Cross multiply
    6,917.00x = 9,528.84 × 5,716.98
  4. Step 4: Simplify right side
    6,917.00x = 54,476,187.70
  5. Step 5: Solve for x
    x = 54,476,187.70/6,917.00
  6. Step 6: Final answer
    x = 7,875.70

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Why These Related Problems?

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