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Finding the Fourth Proportional to 9,702.54, 13,389.15 and 5,932.02

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Solution

The fourth proportional to 9,702.54, 13,389.15 and 5,932.02 is: 8,185.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,702.54 : 13,389.15 = 5,932.02 : x
  2. Step 2: Convert to fraction form
    9,702.54/13,389.15 = 5,932.02/x
  3. Step 3: Cross multiply
    9,702.54x = 13,389.15 × 5,932.02
  4. Step 4: Simplify right side
    9,702.54x = 79,424,705.58
  5. Step 5: Solve for x
    x = 79,424,705.58/9,702.54
  6. Step 6: Final answer
    x = 8,185.97

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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.