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Finding the Fourth Proportional to 9,386.66, 12,951.42 and 5,611.02

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Solution

The fourth proportional to 9,386.66, 12,951.42 and 5,611.02 is: 7,741.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,386.66 : 12,951.42 = 5,611.02 : x
  2. Step 2: Convert to fraction form
    9,386.66/12,951.42 = 5,611.02/x
  3. Step 3: Cross multiply
    9,386.66x = 12,951.42 × 5,611.02
  4. Step 4: Simplify right side
    9,386.66x = 72,670,676.65
  5. Step 5: Solve for x
    x = 72,670,676.65/9,386.66
  6. Step 6: Final answer
    x = 7,741.91

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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.