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Finding the Fourth Proportional to 9,932, 13,706.16 and 5,516

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Solution

The fourth proportional to 9,932, 13,706.16 and 5,516 is: 7,612.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,932 : 13,706.16 = 5,516 : x
  2. Step 2: Convert to fraction form
    9,932/13,706.16 = 5,516/x
  3. Step 3: Cross multiply
    9,932x = 13,706.16 × 5,516
  4. Step 4: Simplify right side
    9,932x = 75,603,178.56
  5. Step 5: Solve for x
    x = 75,603,178.56/9,932
  6. Step 6: Final answer
    x = 7,612.08

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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.