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Finding the Fourth Proportional to 6,419.07, 9,628.56 and 5,128.74

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Solution

The fourth proportional to 6,419.07, 9,628.56 and 5,128.74 is: 7,693.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,419.07 : 9,628.56 = 5,128.74 : x
  2. Step 2: Convert to fraction form
    6,419.07/9,628.56 = 5,128.74/x
  3. Step 3: Cross multiply
    6,419.07x = 9,628.56 × 5,128.74
  4. Step 4: Simplify right side
    6,419.07x = 49,382,380.81
  5. Step 5: Solve for x
    x = 49,382,380.81/6,419.07
  6. Step 6: Final answer
    x = 7,693.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.