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Finding the Fourth Proportional to 6,564.32, 9,843.89 and 2,864.01

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Solution

The fourth proportional to 6,564.32, 9,843.89 and 2,864.01 is: 4,294.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,564.32 : 9,843.89 = 2,864.01 : x
  2. Step 2: Convert to fraction form
    6,564.32/9,843.89 = 2,864.01/x
  3. Step 3: Cross multiply
    6,564.32x = 9,843.89 × 2,864.01
  4. Step 4: Simplify right side
    6,564.32x = 28,192,985.08
  5. Step 5: Solve for x
    x = 28,192,985.08/6,564.32
  6. Step 6: Final answer
    x = 4,294.89

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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.