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Finding the Fourth Proportional to 9,476.86, 13,077.92 and 5,498.65

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Solution

The fourth proportional to 9,476.86, 13,077.92 and 5,498.65 is: 7,588.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,476.86 : 13,077.92 = 5,498.65 : x
  2. Step 2: Convert to fraction form
    9,476.86/13,077.92 = 5,498.65/x
  3. Step 3: Cross multiply
    9,476.86x = 13,077.92 × 5,498.65
  4. Step 4: Simplify right side
    9,476.86x = 71,910,910.01
  5. Step 5: Solve for x
    x = 71,910,910.01/9,476.86
  6. Step 6: Final answer
    x = 7,588.06

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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.