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Finding the Fourth Proportional to 6,459.27, 9,688.02 and 2,076.18

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Solution

The fourth proportional to 6,459.27, 9,688.02 and 2,076.18 is: 3,113.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,459.27 : 9,688.02 = 2,076.18 : x
  2. Step 2: Convert to fraction form
    6,459.27/9,688.02 = 2,076.18/x
  3. Step 3: Cross multiply
    6,459.27x = 9,688.02 × 2,076.18
  4. Step 4: Simplify right side
    6,459.27x = 20,114,073.36
  5. Step 5: Solve for x
    x = 20,114,073.36/6,459.27
  6. Step 6: Final answer
    x = 3,113.99

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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.