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Finding the Fourth Proportional to 9,397.71, 14,090.44 and 3,071.81

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Solution

The fourth proportional to 9,397.71, 14,090.44 and 3,071.81 is: 4,605.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,397.71 : 14,090.44 = 3,071.81 : x
  2. Step 2: Convert to fraction form
    9,397.71/14,090.44 = 3,071.81/x
  3. Step 3: Cross multiply
    9,397.71x = 14,090.44 × 3,071.81
  4. Step 4: Simplify right side
    9,397.71x = 43,283,139.14
  5. Step 5: Solve for x
    x = 43,283,139.14/9,397.71
  6. Step 6: Final answer
    x = 4,605.71

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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.