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Finding the Fourth Proportional to 6,280.96, 9,424.16 and 2,994.08

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Solution

The fourth proportional to 6,280.96, 9,424.16 and 2,994.08 is: 4,492.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,280.96 : 9,424.16 = 2,994.08 : x
  2. Step 2: Convert to fraction form
    6,280.96/9,424.16 = 2,994.08/x
  3. Step 3: Cross multiply
    6,280.96x = 9,424.16 × 2,994.08
  4. Step 4: Simplify right side
    6,280.96x = 28,216,688.97
  5. Step 5: Solve for x
    x = 28,216,688.97/6,280.96
  6. Step 6: Final answer
    x = 4,492.42

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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.