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Finding the Fourth Proportional to 9,887.82, 14,839.29 and 7,291.50

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Solution

The fourth proportional to 9,887.82, 14,839.29 and 7,291.50 is: 10,942.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,887.82 : 14,839.29 = 7,291.50 : x
  2. Step 2: Convert to fraction form
    9,887.82/14,839.29 = 7,291.50/x
  3. Step 3: Cross multiply
    9,887.82x = 14,839.29 × 7,291.50
  4. Step 4: Simplify right side
    9,887.82x = 108,200,683.04
  5. Step 5: Solve for x
    x = 108,200,683.04/9,887.82
  6. Step 6: Final answer
    x = 10,942.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.