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Finding the Fourth Proportional to 6,817.50, 9,383.76 and 4,926.06

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Solution

The fourth proportional to 6,817.50, 9,383.76 and 4,926.06 is: 6,780.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,817.50 : 9,383.76 = 4,926.06 : x
  2. Step 2: Convert to fraction form
    6,817.50/9,383.76 = 4,926.06/x
  3. Step 3: Cross multiply
    6,817.50x = 9,383.76 × 4,926.06
  4. Step 4: Simplify right side
    6,817.50x = 46,224,964.79
  5. Step 5: Solve for x
    x = 46,224,964.79/6,817.50
  6. Step 6: Final answer
    x = 6,780.34

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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.