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Finding the Fourth Proportional to 9,702.24, 14,553.42 and 3,858.84

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Solution

The fourth proportional to 9,702.24, 14,553.42 and 3,858.84 is: 5,788.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,702.24 : 14,553.42 = 3,858.84 : x
  2. Step 2: Convert to fraction form
    9,702.24/14,553.42 = 3,858.84/x
  3. Step 3: Cross multiply
    9,702.24x = 14,553.42 × 3,858.84
  4. Step 4: Simplify right side
    9,702.24x = 56,159,319.23
  5. Step 5: Solve for x
    x = 56,159,319.23/9,702.24
  6. Step 6: Final answer
    x = 5,788.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.