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Finding the Fourth Proportional to 6,564.20, 9,056.49 and 4,676.09

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Solution

The fourth proportional to 6,564.20, 9,056.49 and 4,676.09 is: 6,451.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,564.20 : 9,056.49 = 4,676.09 : x
  2. Step 2: Convert to fraction form
    6,564.20/9,056.49 = 4,676.09/x
  3. Step 3: Cross multiply
    6,564.20x = 9,056.49 × 4,676.09
  4. Step 4: Simplify right side
    6,564.20x = 42,348,962.32
  5. Step 5: Solve for x
    x = 42,348,962.32/6,564.20
  6. Step 6: Final answer
    x = 6,451.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.