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Finding the Fourth Proportional to 6,533.34, 9,801.41 and 2,030.31

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Solution

The fourth proportional to 6,533.34, 9,801.41 and 2,030.31 is: 3,045.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,533.34 : 9,801.41 = 2,030.31 : x
  2. Step 2: Convert to fraction form
    6,533.34/9,801.41 = 2,030.31/x
  3. Step 3: Cross multiply
    6,533.34x = 9,801.41 × 2,030.31
  4. Step 4: Simplify right side
    6,533.34x = 19,899,869.06
  5. Step 5: Solve for x
    x = 19,899,869.06/6,533.34
  6. Step 6: Final answer
    x = 3,045.89

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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.