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Finding the Fourth Proportional to 9,663.71, 14,495.59 and 3,090.43

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Solution

The fourth proportional to 9,663.71, 14,495.59 and 3,090.43 is: 4,635.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,663.71 : 14,495.59 = 3,090.43 : x
  2. Step 2: Convert to fraction form
    9,663.71/14,495.59 = 3,090.43/x
  3. Step 3: Cross multiply
    9,663.71x = 14,495.59 × 3,090.43
  4. Step 4: Simplify right side
    9,663.71x = 44,797,606.20
  5. Step 5: Solve for x
    x = 44,797,606.20/9,663.71
  6. Step 6: Final answer
    x = 4,635.65

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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.