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Finding the Fourth Proportional to 9,976.98, 14,968.17 and 8,145.30

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Solution

The fourth proportional to 9,976.98, 14,968.17 and 8,145.30 is: 12,220.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,976.98 : 14,968.17 = 8,145.30 : x
  2. Step 2: Convert to fraction form
    9,976.98/14,968.17 = 8,145.30/x
  3. Step 3: Cross multiply
    9,976.98x = 14,968.17 × 8,145.30
  4. Step 4: Simplify right side
    9,976.98x = 121,920,235.10
  5. Step 5: Solve for x
    x = 121,920,235.10/9,976.98
  6. Step 6: Final answer
    x = 12,220.15

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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.