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Finding the Fourth Proportional to 6,720.96, 9,275.74 and 4,068.30

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Solution

The fourth proportional to 6,720.96, 9,275.74 and 4,068.30 is: 5,614.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,720.96 : 9,275.74 = 4,068.30 : x
  2. Step 2: Convert to fraction form
    6,720.96/9,275.74 = 4,068.30/x
  3. Step 3: Cross multiply
    6,720.96x = 9,275.74 × 4,068.30
  4. Step 4: Simplify right side
    6,720.96x = 37,736,493.04
  5. Step 5: Solve for x
    x = 37,736,493.04/6,720.96
  6. Step 6: Final answer
    x = 5,614.75

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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.