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Finding the Fourth Proportional to 6,805.76, 9,389.76 and 4,010.72

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Solution

The fourth proportional to 6,805.76, 9,389.76 and 4,010.72 is: 5,533.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,805.76 : 9,389.76 = 4,010.72 : x
  2. Step 2: Convert to fraction form
    6,805.76/9,389.76 = 4,010.72/x
  3. Step 3: Cross multiply
    6,805.76x = 9,389.76 × 4,010.72
  4. Step 4: Simplify right side
    6,805.76x = 37,659,698.23
  5. Step 5: Solve for x
    x = 37,659,698.23/6,805.76
  6. Step 6: Final answer
    x = 5,533.50

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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.