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Finding the Fourth Proportional to 9,927.84, 13,702.32 and 5,736

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Solution

The fourth proportional to 9,927.84, 13,702.32 and 5,736 is: 7,916.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,927.84 : 13,702.32 = 5,736 : x
  2. Step 2: Convert to fraction form
    9,927.84/13,702.32 = 5,736/x
  3. Step 3: Cross multiply
    9,927.84x = 13,702.32 × 5,736
  4. Step 4: Simplify right side
    9,927.84x = 78,596,507.52
  5. Step 5: Solve for x
    x = 78,596,507.52/9,927.84
  6. Step 6: Final answer
    x = 7,916.78

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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.