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Finding the Fourth Proportional to 11,469.84, 15,833.20 and 9,710.56

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Solution

The fourth proportional to 11,469.84, 15,833.20 and 9,710.56 is: 13,404.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,469.84 : 15,833.20 = 9,710.56 : x
  2. Step 2: Convert to fraction form
    11,469.84/15,833.20 = 9,710.56/x
  3. Step 3: Cross multiply
    11,469.84x = 15,833.20 × 9,710.56
  4. Step 4: Simplify right side
    11,469.84x = 153,749,238.59
  5. Step 5: Solve for x
    x = 153,749,238.59/11,469.84
  6. Step 6: Final answer
    x = 13,404.65

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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.