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Finding the Fourth Proportional to 9,486.16, 13,090.89 and 5,507.44

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Solution

The fourth proportional to 9,486.16, 13,090.89 and 5,507.44 is: 7,600.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,486.16 : 13,090.89 = 5,507.44 : x
  2. Step 2: Convert to fraction form
    9,486.16/13,090.89 = 5,507.44/x
  3. Step 3: Cross multiply
    9,486.16x = 13,090.89 × 5,507.44
  4. Step 4: Simplify right side
    9,486.16x = 72,097,291.22
  5. Step 5: Solve for x
    x = 72,097,291.22/9,486.16
  6. Step 6: Final answer
    x = 7,600.26

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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.