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Finding the Fourth Proportional to 9,663.81, 14,498.28 and 3,090.12

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Solution

The fourth proportional to 9,663.81, 14,498.28 and 3,090.12 is: 4,636.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,663.81 : 14,498.28 = 3,090.12 : x
  2. Step 2: Convert to fraction form
    9,663.81/14,498.28 = 3,090.12/x
  3. Step 3: Cross multiply
    9,663.81x = 14,498.28 × 3,090.12
  4. Step 4: Simplify right side
    9,663.81x = 44,801,424.99
  5. Step 5: Solve for x
    x = 44,801,424.99/9,663.81
  6. Step 6: Final answer
    x = 4,636.00

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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.