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Finding the Fourth Proportional to 6,419.16, 9,628.57 and 4,862.12

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Solution

The fourth proportional to 6,419.16, 9,628.57 and 4,862.12 is: 7,293.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,419.16 : 9,628.57 = 4,862.12 : x
  2. Step 2: Convert to fraction form
    6,419.16/9,628.57 = 4,862.12/x
  3. Step 3: Cross multiply
    6,419.16x = 9,628.57 × 4,862.12
  4. Step 4: Simplify right side
    6,419.16x = 46,815,262.77
  5. Step 5: Solve for x
    x = 46,815,262.77/6,419.16
  6. Step 6: Final answer
    x = 7,293.05

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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.