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Finding the Fourth Proportional to 9,799.94, 13,514.71 and 7,558.27

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Solution

The fourth proportional to 9,799.94, 13,514.71 and 7,558.27 is: 10,423.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,799.94 : 13,514.71 = 7,558.27 : x
  2. Step 2: Convert to fraction form
    9,799.94/13,514.71 = 7,558.27/x
  3. Step 3: Cross multiply
    9,799.94x = 13,514.71 × 7,558.27
  4. Step 4: Simplify right side
    9,799.94x = 102,147,827.15
  5. Step 5: Solve for x
    x = 102,147,827.15/9,799.94
  6. Step 6: Final answer
    x = 10,423.31

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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.