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Finding the Fourth Proportional to 9,317.96, 13,975.08 and 5,976.32

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Solution

The fourth proportional to 9,317.96, 13,975.08 and 5,976.32 is: 8,963.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,317.96 : 13,975.08 = 5,976.32 : x
  2. Step 2: Convert to fraction form
    9,317.96/13,975.08 = 5,976.32/x
  3. Step 3: Cross multiply
    9,317.96x = 13,975.08 × 5,976.32
  4. Step 4: Simplify right side
    9,317.96x = 83,519,550.11
  5. Step 5: Solve for x
    x = 83,519,550.11/9,317.96
  6. Step 6: Final answer
    x = 8,963.29

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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.