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Finding the Fourth Proportional to 9,547.50, 13,183.91 and 5,968.57

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Solution

The fourth proportional to 9,547.50, 13,183.91 and 5,968.57 is: 8,241.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,547.50 : 13,183.91 = 5,968.57 : x
  2. Step 2: Convert to fraction form
    9,547.50/13,183.91 = 5,968.57/x
  3. Step 3: Cross multiply
    9,547.50x = 13,183.91 × 5,968.57
  4. Step 4: Simplify right side
    9,547.50x = 78,689,089.71
  5. Step 5: Solve for x
    x = 78,689,089.71/9,547.50
  6. Step 6: Final answer
    x = 8,241.85

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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.