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Finding the Fourth Proportional to 9,799.86, 13,525.47 and 5,823.12

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Solution

The fourth proportional to 9,799.86, 13,525.47 and 5,823.12 is: 8,036.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,799.86 : 13,525.47 = 5,823.12 : x
  2. Step 2: Convert to fraction form
    9,799.86/13,525.47 = 5,823.12/x
  3. Step 3: Cross multiply
    9,799.86x = 13,525.47 × 5,823.12
  4. Step 4: Simplify right side
    9,799.86x = 78,760,434.87
  5. Step 5: Solve for x
    x = 78,760,434.87/9,799.86
  6. Step 6: Final answer
    x = 8,036.89

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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.