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Finding the Fourth Proportional to 9,907.68, 14,861.16 and 2,982

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Solution

The fourth proportional to 9,907.68, 14,861.16 and 2,982 is: 4,472.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,907.68 : 14,861.16 = 2,982 : x
  2. Step 2: Convert to fraction form
    9,907.68/14,861.16 = 2,982/x
  3. Step 3: Cross multiply
    9,907.68x = 14,861.16 × 2,982
  4. Step 4: Simplify right side
    9,907.68x = 44,315,979.12
  5. Step 5: Solve for x
    x = 44,315,979.12/9,907.68
  6. Step 6: Final answer
    x = 4,472.89

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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.