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Finding the Fourth Proportional to 6,720.16, 9,271.68 and 4,066.72

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Solution

The fourth proportional to 6,720.16, 9,271.68 and 4,066.72 is: 5,610.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,720.16 : 9,271.68 = 4,066.72 : x
  2. Step 2: Convert to fraction form
    6,720.16/9,271.68 = 4,066.72/x
  3. Step 3: Cross multiply
    6,720.16x = 9,271.68 × 4,066.72
  4. Step 4: Simplify right side
    6,720.16x = 37,705,326.49
  5. Step 5: Solve for x
    x = 37,705,326.49/6,720.16
  6. Step 6: Final answer
    x = 5,610.78

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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.