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Finding the Fourth Proportional to 9,976.98, 14,967.39 and 3,820.50

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Solution

The fourth proportional to 9,976.98, 14,967.39 and 3,820.50 is: 5,731.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,976.98 : 14,967.39 = 3,820.50 : x
  2. Step 2: Convert to fraction form
    9,976.98/14,967.39 = 3,820.50/x
  3. Step 3: Cross multiply
    9,976.98x = 14,967.39 × 3,820.50
  4. Step 4: Simplify right side
    9,976.98x = 57,182,913.50
  5. Step 5: Solve for x
    x = 57,182,913.50/9,976.98
  6. Step 6: Final answer
    x = 5,731.49

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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.