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Finding the Fourth Proportional to 9,300.54, 13,952.16 and 4,916.82

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Solution

The fourth proportional to 9,300.54, 13,952.16 and 4,916.82 is: 7,375.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,300.54 : 13,952.16 = 4,916.82 : x
  2. Step 2: Convert to fraction form
    9,300.54/13,952.16 = 4,916.82/x
  3. Step 3: Cross multiply
    9,300.54x = 13,952.16 × 4,916.82
  4. Step 4: Simplify right side
    9,300.54x = 68,600,259.33
  5. Step 5: Solve for x
    x = 68,600,259.33/9,300.54
  6. Step 6: Final answer
    x = 7,375.94

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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.