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Finding the Fourth Proportional to 9,938.96, 13,715.76 and 5,463

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Solution

The fourth proportional to 9,938.96, 13,715.76 and 5,463 is: 7,538.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,938.96 : 13,715.76 = 5,463 : x
  2. Step 2: Convert to fraction form
    9,938.96/13,715.76 = 5,463/x
  3. Step 3: Cross multiply
    9,938.96x = 13,715.76 × 5,463
  4. Step 4: Simplify right side
    9,938.96x = 74,929,217.37
  5. Step 5: Solve for x
    x = 74,929,217.37/9,938.96
  6. Step 6: Final answer
    x = 7,538.94

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Why These Related Problems?

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