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Finding the Fourth Proportional to 6,364.08, 9,547.02 and 1,981.44

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Solution

The fourth proportional to 6,364.08, 9,547.02 and 1,981.44 is: 2,972.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,364.08 : 9,547.02 = 1,981.44 : x
  2. Step 2: Convert to fraction form
    6,364.08/9,547.02 = 1,981.44/x
  3. Step 3: Cross multiply
    6,364.08x = 9,547.02 × 1,981.44
  4. Step 4: Simplify right side
    6,364.08x = 18,916,847.31
  5. Step 5: Solve for x
    x = 18,916,847.31/6,364.08
  6. Step 6: Final answer
    x = 2,972.44

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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.