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Finding the Fourth Proportional to 9,317.71, 13,983.04 and 6,022.63

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Solution

The fourth proportional to 9,317.71, 13,983.04 and 6,022.63 is: 9,038.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,317.71 : 13,983.04 = 6,022.63 : x
  2. Step 2: Convert to fraction form
    9,317.71/13,983.04 = 6,022.63/x
  3. Step 3: Cross multiply
    9,317.71x = 13,983.04 × 6,022.63
  4. Step 4: Simplify right side
    9,317.71x = 84,214,606.28
  5. Step 5: Solve for x
    x = 84,214,606.28/9,317.71
  6. Step 6: Final answer
    x = 9,038.13

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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.