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Finding the Fourth Proportional to 9,486.21, 13,090.05 and 6,504.60

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Solution

The fourth proportional to 9,486.21, 13,090.05 and 6,504.60 is: 8,975.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,486.21 : 13,090.05 = 6,504.60 : x
  2. Step 2: Convert to fraction form
    9,486.21/13,090.05 = 6,504.60/x
  3. Step 3: Cross multiply
    9,486.21x = 13,090.05 × 6,504.60
  4. Step 4: Simplify right side
    9,486.21x = 85,145,539.23
  5. Step 5: Solve for x
    x = 85,145,539.23/9,486.21
  6. Step 6: Final answer
    x = 8,975.72

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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.