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Finding the Fourth Proportional to 9,668.10, 14,499.06 and 3,092.72

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Solution

The fourth proportional to 9,668.10, 14,499.06 and 3,092.72 is: 4,638.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,668.10 : 14,499.06 = 3,092.72 : x
  2. Step 2: Convert to fraction form
    9,668.10/14,499.06 = 3,092.72/x
  3. Step 3: Cross multiply
    9,668.10x = 14,499.06 × 3,092.72
  4. Step 4: Simplify right side
    9,668.10x = 44,841,460.35
  5. Step 5: Solve for x
    x = 44,841,460.35/9,668.10
  6. Step 6: Final answer
    x = 4,638.08

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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.