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Finding the Fourth Proportional to 9,777.09, 14,664.93 and 3,113.34

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Solution

The fourth proportional to 9,777.09, 14,664.93 and 3,113.34 is: 4,669.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,777.09 : 14,664.93 = 3,113.34 : x
  2. Step 2: Convert to fraction form
    9,777.09/14,664.93 = 3,113.34/x
  3. Step 3: Cross multiply
    9,777.09x = 14,664.93 × 3,113.34
  4. Step 4: Simplify right side
    9,777.09x = 45,656,913.17
  5. Step 5: Solve for x
    x = 45,656,913.17/9,777.09
  6. Step 6: Final answer
    x = 4,669.79

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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.