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Finding the Fourth Proportional to 9,982.08, 14,971.04 and 2,962.16

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Solution

The fourth proportional to 9,982.08, 14,971.04 and 2,962.16 is: 4,442.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,982.08 : 14,971.04 = 2,962.16 : x
  2. Step 2: Convert to fraction form
    9,982.08/14,971.04 = 2,962.16/x
  3. Step 3: Cross multiply
    9,982.08x = 14,971.04 × 2,962.16
  4. Step 4: Simplify right side
    9,982.08x = 44,346,615.85
  5. Step 5: Solve for x
    x = 44,346,615.85/9,982.08
  6. Step 6: Final answer
    x = 4,442.62

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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.