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Finding the Fourth Proportional to 9,531.84, 14,295.16 and 3,984.02

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Solution

The fourth proportional to 9,531.84, 14,295.16 and 3,984.02 is: 5,974.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,531.84 : 14,295.16 = 3,984.02 : x
  2. Step 2: Convert to fraction form
    9,531.84/14,295.16 = 3,984.02/x
  3. Step 3: Cross multiply
    9,531.84x = 14,295.16 × 3,984.02
  4. Step 4: Simplify right side
    9,531.84x = 56,952,203.34
  5. Step 5: Solve for x
    x = 56,952,203.34/9,531.84
  6. Step 6: Final answer
    x = 5,974.94

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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.