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Finding the Fourth Proportional to 9,586.02, 13,228.73 and 5,394.27

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Solution

The fourth proportional to 9,586.02, 13,228.73 and 5,394.27 is: 7,444.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,586.02 : 13,228.73 = 5,394.27 : x
  2. Step 2: Convert to fraction form
    9,586.02/13,228.73 = 5,394.27/x
  3. Step 3: Cross multiply
    9,586.02x = 13,228.73 × 5,394.27
  4. Step 4: Simplify right side
    9,586.02x = 71,359,341.38
  5. Step 5: Solve for x
    x = 71,359,341.38/9,586.02
  6. Step 6: Final answer
    x = 7,444.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.