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Finding the Fourth Proportional to 9,638.58, 14,460.44 and 4,092.24

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Solution

The fourth proportional to 9,638.58, 14,460.44 and 4,092.24 is: 6,139.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,638.58 : 14,460.44 = 4,092.24 : x
  2. Step 2: Convert to fraction form
    9,638.58/14,460.44 = 4,092.24/x
  3. Step 3: Cross multiply
    9,638.58x = 14,460.44 × 4,092.24
  4. Step 4: Simplify right side
    9,638.58x = 59,175,590.99
  5. Step 5: Solve for x
    x = 59,175,590.99/9,638.58
  6. Step 6: Final answer
    x = 6,139.45

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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.