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Finding the Fourth Proportional to 6,654.36, 9,182.76 and 4,002.06

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Solution

The fourth proportional to 6,654.36, 9,182.76 and 4,002.06 is: 5,522.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,654.36 : 9,182.76 = 4,002.06 : x
  2. Step 2: Convert to fraction form
    6,654.36/9,182.76 = 4,002.06/x
  3. Step 3: Cross multiply
    6,654.36x = 9,182.76 × 4,002.06
  4. Step 4: Simplify right side
    6,654.36x = 36,749,956.49
  5. Step 5: Solve for x
    x = 36,749,956.49/6,654.36
  6. Step 6: Final answer
    x = 5,522.69

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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.