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Finding the Fourth Proportional to 9,204.30, 12,702.36 and 5,427.63

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Solution

The fourth proportional to 9,204.30, 12,702.36 and 5,427.63 is: 7,490.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,204.30 : 12,702.36 = 5,427.63 : x
  2. Step 2: Convert to fraction form
    9,204.30/12,702.36 = 5,427.63/x
  3. Step 3: Cross multiply
    9,204.30x = 12,702.36 × 5,427.63
  4. Step 4: Simplify right side
    9,204.30x = 68,943,710.21
  5. Step 5: Solve for x
    x = 68,943,710.21/9,204.30
  6. Step 6: Final answer
    x = 7,490.38

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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.