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Finding the Fourth Proportional to 9,823.26, 13,551.03 and 6,090.78

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Solution

The fourth proportional to 9,823.26, 13,551.03 and 6,090.78 is: 8,402.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,823.26 : 13,551.03 = 6,090.78 : x
  2. Step 2: Convert to fraction form
    9,823.26/13,551.03 = 6,090.78/x
  3. Step 3: Cross multiply
    9,823.26x = 13,551.03 × 6,090.78
  4. Step 4: Simplify right side
    9,823.26x = 82,536,342.50
  5. Step 5: Solve for x
    x = 82,536,342.50/9,823.26
  6. Step 6: Final answer
    x = 8,402.13

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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.