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Finding the Fourth Proportional to 9,962.41, 13,753.65 and 5,984.50

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Solution

The fourth proportional to 9,962.41, 13,753.65 and 5,984.50 is: 8,261.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,962.41 : 13,753.65 = 5,984.50 : x
  2. Step 2: Convert to fraction form
    9,962.41/13,753.65 = 5,984.50/x
  3. Step 3: Cross multiply
    9,962.41x = 13,753.65 × 5,984.50
  4. Step 4: Simplify right side
    9,962.41x = 82,308,718.43
  5. Step 5: Solve for x
    x = 82,308,718.43/9,962.41
  6. Step 6: Final answer
    x = 8,261.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.