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Finding the Fourth Proportional to 9,096.41, 13,641.71 and 3,548.40

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Solution

The fourth proportional to 9,096.41, 13,641.71 and 3,548.40 is: 5,321.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,096.41 : 13,641.71 = 3,548.40 : x
  2. Step 2: Convert to fraction form
    9,096.41/13,641.71 = 3,548.40/x
  3. Step 3: Cross multiply
    9,096.41x = 13,641.71 × 3,548.40
  4. Step 4: Simplify right side
    9,096.41x = 48,406,226.02
  5. Step 5: Solve for x
    x = 48,406,226.02/9,096.41
  6. Step 6: Final answer
    x = 5,321.47

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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.