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Finding the Fourth Proportional to 9,090.60, 13,627.90 and 6,159.40

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Solution

The fourth proportional to 9,090.60, 13,627.90 and 6,159.40 is: 9,233.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,090.60 : 13,627.90 = 6,159.40 : x
  2. Step 2: Convert to fraction form
    9,090.60/13,627.90 = 6,159.40/x
  3. Step 3: Cross multiply
    9,090.60x = 13,627.90 × 6,159.40
  4. Step 4: Simplify right side
    9,090.60x = 83,939,687.26
  5. Step 5: Solve for x
    x = 83,939,687.26/9,090.60
  6. Step 6: Final answer
    x = 9,233.68

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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.