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Finding the Fourth Proportional to 9,764.96, 14,649.60 and 2,840

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Solution

The fourth proportional to 9,764.96, 14,649.60 and 2,840 is: 4,260.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,764.96 : 14,649.60 = 2,840 : x
  2. Step 2: Convert to fraction form
    9,764.96/14,649.60 = 2,840/x
  3. Step 3: Cross multiply
    9,764.96x = 14,649.60 × 2,840
  4. Step 4: Simplify right side
    9,764.96x = 41,604,864
  5. Step 5: Solve for x
    x = 41,604,864/9,764.96
  6. Step 6: Final answer
    x = 4,260.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.