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Finding the Fourth Proportional to 6,709.20, 9,255.72 and 4,719

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Solution

The fourth proportional to 6,709.20, 9,255.72 and 4,719 is: 6,510.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,709.20 : 9,255.72 = 4,719 : x
  2. Step 2: Convert to fraction form
    6,709.20/9,255.72 = 4,719/x
  3. Step 3: Cross multiply
    6,709.20x = 9,255.72 × 4,719
  4. Step 4: Simplify right side
    6,709.20x = 43,677,742.68
  5. Step 5: Solve for x
    x = 43,677,742.68/6,709.20
  6. Step 6: Final answer
    x = 6,510.13

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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.