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Finding the Fourth Proportional to 9,794.17, 13,516.10 and 5,317.93

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Solution

The fourth proportional to 9,794.17, 13,516.10 and 5,317.93 is: 7,338.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,794.17 : 13,516.10 = 5,317.93 : x
  2. Step 2: Convert to fraction form
    9,794.17/13,516.10 = 5,317.93/x
  3. Step 3: Cross multiply
    9,794.17x = 13,516.10 × 5,317.93
  4. Step 4: Simplify right side
    9,794.17x = 71,877,673.67
  5. Step 5: Solve for x
    x = 71,877,673.67/9,794.17
  6. Step 6: Final answer
    x = 7,338.82

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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.