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Finding the Fourth Proportional to 9,317.96, 12,857.10 and 5,338.16

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Solution

The fourth proportional to 9,317.96, 12,857.10 and 5,338.16 is: 7,365.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,317.96 : 12,857.10 = 5,338.16 : x
  2. Step 2: Convert to fraction form
    9,317.96/12,857.10 = 5,338.16/x
  3. Step 3: Cross multiply
    9,317.96x = 12,857.10 × 5,338.16
  4. Step 4: Simplify right side
    9,317.96x = 68,633,256.94
  5. Step 5: Solve for x
    x = 68,633,256.94/9,317.96
  6. Step 6: Final answer
    x = 7,365.70

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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.