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Finding the Fourth Proportional to 6,016.01, 9,009.29 and 3,677.00

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Solution

The fourth proportional to 6,016.01, 9,009.29 and 3,677.00 is: 5,506.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,016.01 : 9,009.29 = 3,677.00 : x
  2. Step 2: Convert to fraction form
    6,016.01/9,009.29 = 3,677.00/x
  3. Step 3: Cross multiply
    6,016.01x = 9,009.29 × 3,677.00
  4. Step 4: Simplify right side
    6,016.01x = 33,127,123.48
  5. Step 5: Solve for x
    x = 33,127,123.48/6,016.01
  6. Step 6: Final answer
    x = 5,506.50

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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.