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Finding the Fourth Proportional to 9,088.41, 12,538.74 and 5,946.42

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Solution

The fourth proportional to 9,088.41, 12,538.74 and 5,946.42 is: 8,203.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,088.41 : 12,538.74 = 5,946.42 : x
  2. Step 2: Convert to fraction form
    9,088.41/12,538.74 = 5,946.42/x
  3. Step 3: Cross multiply
    9,088.41x = 12,538.74 × 5,946.42
  4. Step 4: Simplify right side
    9,088.41x = 74,560,614.31
  5. Step 5: Solve for x
    x = 74,560,614.31/9,088.41
  6. Step 6: Final answer
    x = 8,203.92

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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.