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Finding the Fourth Proportional to 9,062.64, 13,586.64 and 3,513.12

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Solution

The fourth proportional to 9,062.64, 13,586.64 and 3,513.12 is: 5,266.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,062.64 : 13,586.64 = 3,513.12 : x
  2. Step 2: Convert to fraction form
    9,062.64/13,586.64 = 3,513.12/x
  3. Step 3: Cross multiply
    9,062.64x = 13,586.64 × 3,513.12
  4. Step 4: Simplify right side
    9,062.64x = 47,731,496.72
  5. Step 5: Solve for x
    x = 47,731,496.72/9,062.64
  6. Step 6: Final answer
    x = 5,266.84

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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.