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Finding the Fourth Proportional to 6,816.90, 9,416.88 and 5,264.94

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Solution

The fourth proportional to 6,816.90, 9,416.88 and 5,264.94 is: 7,273.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,816.90 : 9,416.88 = 5,264.94 : x
  2. Step 2: Convert to fraction form
    6,816.90/9,416.88 = 5,264.94/x
  3. Step 3: Cross multiply
    6,816.90x = 9,416.88 × 5,264.94
  4. Step 4: Simplify right side
    6,816.90x = 49,579,308.19
  5. Step 5: Solve for x
    x = 49,579,308.19/6,816.90
  6. Step 6: Final answer
    x = 7,273.00

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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.