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Finding the Fourth Proportional to 9,090.86, 13,636.31 and 7,854.53

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Solution

The fourth proportional to 9,090.86, 13,636.31 and 7,854.53 is: 11,781.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,090.86 : 13,636.31 = 7,854.53 : x
  2. Step 2: Convert to fraction form
    9,090.86/13,636.31 = 7,854.53/x
  3. Step 3: Cross multiply
    9,090.86x = 13,636.31 × 7,854.53
  4. Step 4: Simplify right side
    9,090.86x = 107,106,800.80
  5. Step 5: Solve for x
    x = 107,106,800.80/9,090.86
  6. Step 6: Final answer
    x = 11,781.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.