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Finding the Fourth Proportional to 9,666.81, 14,500.35 and 2,741.31

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Solution

The fourth proportional to 9,666.81, 14,500.35 and 2,741.31 is: 4,112.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,666.81 : 14,500.35 = 2,741.31 : x
  2. Step 2: Convert to fraction form
    9,666.81/14,500.35 = 2,741.31/x
  3. Step 3: Cross multiply
    9,666.81x = 14,500.35 × 2,741.31
  4. Step 4: Simplify right side
    9,666.81x = 39,749,954.46
  5. Step 5: Solve for x
    x = 39,749,954.46/9,666.81
  6. Step 6: Final answer
    x = 4,112.00

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Why These Related Problems?

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