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Finding the Fourth Proportional to 6,447.92, 9,665.16 and 2,988.08

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Solution

The fourth proportional to 6,447.92, 9,665.16 and 2,988.08 is: 4,479.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,447.92 : 9,665.16 = 2,988.08 : x
  2. Step 2: Convert to fraction form
    6,447.92/9,665.16 = 2,988.08/x
  3. Step 3: Cross multiply
    6,447.92x = 9,665.16 × 2,988.08
  4. Step 4: Simplify right side
    6,447.92x = 28,880,271.29
  5. Step 5: Solve for x
    x = 28,880,271.29/6,447.92
  6. Step 6: Final answer
    x = 4,479.01

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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.