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Finding the Fourth Proportional to 9,777.96, 14,669.10 and 2,853

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Solution

The fourth proportional to 9,777.96, 14,669.10 and 2,853 is: 4,280.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,777.96 : 14,669.10 = 2,853 : x
  2. Step 2: Convert to fraction form
    9,777.96/14,669.10 = 2,853/x
  3. Step 3: Cross multiply
    9,777.96x = 14,669.10 × 2,853
  4. Step 4: Simplify right side
    9,777.96x = 41,850,942.30
  5. Step 5: Solve for x
    x = 41,850,942.30/9,777.96
  6. Step 6: Final answer
    x = 4,280.13

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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.