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Finding the Fourth Proportional to 6,548.34, 9,036.73 and 3,564.20

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Solution

The fourth proportional to 6,548.34, 9,036.73 and 3,564.20 is: 4,918.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,548.34 : 9,036.73 = 3,564.20 : x
  2. Step 2: Convert to fraction form
    6,548.34/9,036.73 = 3,564.20/x
  3. Step 3: Cross multiply
    6,548.34x = 9,036.73 × 3,564.20
  4. Step 4: Simplify right side
    6,548.34x = 32,208,740.11
  5. Step 5: Solve for x
    x = 32,208,740.11/6,548.34
  6. Step 6: Final answer
    x = 4,918.61

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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.