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Finding the Fourth Proportional to 9,110.65, 12,564.35 and 5,968.57

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Solution

The fourth proportional to 9,110.65, 12,564.35 and 5,968.57 is: 8,231.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,110.65 : 12,564.35 = 5,968.57 : x
  2. Step 2: Convert to fraction form
    9,110.65/12,564.35 = 5,968.57/x
  3. Step 3: Cross multiply
    9,110.65x = 12,564.35 × 5,968.57
  4. Step 4: Simplify right side
    9,110.65x = 74,991,172.64
  5. Step 5: Solve for x
    x = 74,991,172.64/9,110.65
  6. Step 6: Final answer
    x = 8,231.16

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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.