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Finding the Fourth Proportional to 9,822.66, 13,556.16 and 6,046.80

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Solution

The fourth proportional to 9,822.66, 13,556.16 and 6,046.80 is: 8,345.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,822.66 : 13,556.16 = 6,046.80 : x
  2. Step 2: Convert to fraction form
    9,822.66/13,556.16 = 6,046.80/x
  3. Step 3: Cross multiply
    9,822.66x = 13,556.16 × 6,046.80
  4. Step 4: Simplify right side
    9,822.66x = 81,971,388.29
  5. Step 5: Solve for x
    x = 81,971,388.29/9,822.66
  6. Step 6: Final answer
    x = 8,345.13

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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.