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Finding the Fourth Proportional to 9,972.08, 14,962.44 and 5,354

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Solution

The fourth proportional to 9,972.08, 14,962.44 and 5,354 is: 8,033.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,972.08 : 14,962.44 = 5,354 : x
  2. Step 2: Convert to fraction form
    9,972.08/14,962.44 = 5,354/x
  3. Step 3: Cross multiply
    9,972.08x = 14,962.44 × 5,354
  4. Step 4: Simplify right side
    9,972.08x = 80,108,903.76
  5. Step 5: Solve for x
    x = 80,108,903.76/9,972.08
  6. Step 6: Final answer
    x = 8,033.32

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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.