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Finding the Fourth Proportional to 9,486.83, 13,091.10 and 5,507.30

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Solution

The fourth proportional to 9,486.83, 13,091.10 and 5,507.30 is: 7,599.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,486.83 : 13,091.10 = 5,507.30 : x
  2. Step 2: Convert to fraction form
    9,486.83/13,091.10 = 5,507.30/x
  3. Step 3: Cross multiply
    9,486.83x = 13,091.10 × 5,507.30
  4. Step 4: Simplify right side
    9,486.83x = 72,096,615.03
  5. Step 5: Solve for x
    x = 72,096,615.03/9,486.83
  6. Step 6: Final answer
    x = 7,599.65

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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.