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Finding the Fourth Proportional to 6,318.45, 9,477.66 and 1,638.08

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Solution

The fourth proportional to 6,318.45, 9,477.66 and 1,638.08 is: 2,457.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,318.45 : 9,477.66 = 1,638.08 : x
  2. Step 2: Convert to fraction form
    6,318.45/9,477.66 = 1,638.08/x
  3. Step 3: Cross multiply
    6,318.45x = 9,477.66 × 1,638.08
  4. Step 4: Simplify right side
    6,318.45x = 15,525,117.90
  5. Step 5: Solve for x
    x = 15,525,117.90/6,318.45
  6. Step 6: Final answer
    x = 2,457.11

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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.