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Finding the Fourth Proportional to 9,983.79, 13,779.32 and 5,794.47

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Solution

The fourth proportional to 9,983.79, 13,779.32 and 5,794.47 is: 7,997.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,983.79 : 13,779.32 = 5,794.47 : x
  2. Step 2: Convert to fraction form
    9,983.79/13,779.32 = 5,794.47/x
  3. Step 3: Cross multiply
    9,983.79x = 13,779.32 × 5,794.47
  4. Step 4: Simplify right side
    9,983.79x = 79,843,827.39
  5. Step 5: Solve for x
    x = 79,843,827.39/9,983.79
  6. Step 6: Final answer
    x = 7,997.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.