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Finding the Fourth Proportional to 9,486.63, 13,094.33 and 5,509.53

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Solution

The fourth proportional to 9,486.63, 13,094.33 and 5,509.53 is: 7,604.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,486.63 : 13,094.33 = 5,509.53 : x
  2. Step 2: Convert to fraction form
    9,486.63/13,094.33 = 5,509.53/x
  3. Step 3: Cross multiply
    9,486.63x = 13,094.33 × 5,509.53
  4. Step 4: Simplify right side
    9,486.63x = 72,143,576.42
  5. Step 5: Solve for x
    x = 72,143,576.42/9,486.63
  6. Step 6: Final answer
    x = 7,604.76

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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.