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Finding the Fourth Proportional to 9,096.15, 13,644.86 and 3,547.65

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Solution

The fourth proportional to 9,096.15, 13,644.86 and 3,547.65 is: 5,321.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,096.15 : 13,644.86 = 3,547.65 : x
  2. Step 2: Convert to fraction form
    9,096.15/13,644.86 = 3,547.65/x
  3. Step 3: Cross multiply
    9,096.15x = 13,644.86 × 3,547.65
  4. Step 4: Simplify right side
    9,096.15x = 48,407,169.84
  5. Step 5: Solve for x
    x = 48,407,169.84/9,096.15
  6. Step 6: Final answer
    x = 5,321.72

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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.