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Finding the Fourth Proportional to 9,090.83, 13,628.16 and 3,542.88

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Solution

The fourth proportional to 9,090.83, 13,628.16 and 3,542.88 is: 5,311.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,090.83 : 13,628.16 = 3,542.88 : x
  2. Step 2: Convert to fraction form
    9,090.83/13,628.16 = 3,542.88/x
  3. Step 3: Cross multiply
    9,090.83x = 13,628.16 × 3,542.88
  4. Step 4: Simplify right side
    9,090.83x = 48,282,935.50
  5. Step 5: Solve for x
    x = 48,282,935.50/9,090.83
  6. Step 6: Final answer
    x = 5,311.17

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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.