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Finding the Fourth Proportional to 9,431.58, 14,127.93 and 5,524.14

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Solution

The fourth proportional to 9,431.58, 14,127.93 and 5,524.14 is: 8,274.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,431.58 : 14,127.93 = 5,524.14 : x
  2. Step 2: Convert to fraction form
    9,431.58/14,127.93 = 5,524.14/x
  3. Step 3: Cross multiply
    9,431.58x = 14,127.93 × 5,524.14
  4. Step 4: Simplify right side
    9,431.58x = 78,044,663.23
  5. Step 5: Solve for x
    x = 78,044,663.23/9,431.58
  6. Step 6: Final answer
    x = 8,274.82

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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.