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Finding the Fourth Proportional to 6,459.48, 9,674.28 and 3,856.68

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Solution

The fourth proportional to 6,459.48, 9,674.28 and 3,856.68 is: 5,776.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,459.48 : 9,674.28 = 3,856.68 : x
  2. Step 2: Convert to fraction form
    6,459.48/9,674.28 = 3,856.68/x
  3. Step 3: Cross multiply
    6,459.48x = 9,674.28 × 3,856.68
  4. Step 4: Simplify right side
    6,459.48x = 37,310,602.19
  5. Step 5: Solve for x
    x = 37,310,602.19/6,459.48
  6. Step 6: Final answer
    x = 5,776.10

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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.