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Finding the Fourth Proportional to 11,462.34, 15,844.51 and 9,562.84

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Solution

The fourth proportional to 11,462.34, 15,844.51 and 9,562.84 is: 13,218.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,462.34 : 15,844.51 = 9,562.84 : x
  2. Step 2: Convert to fraction form
    11,462.34/15,844.51 = 9,562.84/x
  3. Step 3: Cross multiply
    11,462.34x = 15,844.51 × 9,562.84
  4. Step 4: Simplify right side
    11,462.34x = 151,518,575.48
  5. Step 5: Solve for x
    x = 151,518,575.48/11,462.34
  6. Step 6: Final answer
    x = 13,218.81

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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.