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Finding the Fourth Proportional to 6,856.28, 9,459.65 and 4,620.68

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Solution

The fourth proportional to 6,856.28, 9,459.65 and 4,620.68 is: 6,375.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,856.28 : 9,459.65 = 4,620.68 : x
  2. Step 2: Convert to fraction form
    6,856.28/9,459.65 = 4,620.68/x
  3. Step 3: Cross multiply
    6,856.28x = 9,459.65 × 4,620.68
  4. Step 4: Simplify right side
    6,856.28x = 43,710,015.56
  5. Step 5: Solve for x
    x = 43,710,015.56/6,856.28
  6. Step 6: Final answer
    x = 6,375.18

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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.