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Finding the Fourth Proportional to 9,556.77, 13,194.59 and 6,209.13

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Solution

The fourth proportional to 9,556.77, 13,194.59 and 6,209.13 is: 8,572.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,556.77 : 13,194.59 = 6,209.13 : x
  2. Step 2: Convert to fraction form
    9,556.77/13,194.59 = 6,209.13/x
  3. Step 3: Cross multiply
    9,556.77x = 13,194.59 × 6,209.13
  4. Step 4: Simplify right side
    9,556.77x = 81,926,924.61
  5. Step 5: Solve for x
    x = 81,926,924.61/9,556.77
  6. Step 6: Final answer
    x = 8,572.66

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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.