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Finding the Fourth Proportional to 9,757.63, 13,465.98 and 5,510.38

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Solution

The fourth proportional to 9,757.63, 13,465.98 and 5,510.38 is: 7,604.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,757.63 : 13,465.98 = 5,510.38 : x
  2. Step 2: Convert to fraction form
    9,757.63/13,465.98 = 5,510.38/x
  3. Step 3: Cross multiply
    9,757.63x = 13,465.98 × 5,510.38
  4. Step 4: Simplify right side
    9,757.63x = 74,202,666.87
  5. Step 5: Solve for x
    x = 74,202,666.87/9,757.63
  6. Step 6: Final answer
    x = 7,604.58

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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.