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Finding the Fourth Proportional to 9,386.67, 14,069.88 and 6,102.12

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Solution

The fourth proportional to 9,386.67, 14,069.88 and 6,102.12 is: 9,146.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,386.67 : 14,069.88 = 6,102.12 : x
  2. Step 2: Convert to fraction form
    9,386.67/14,069.88 = 6,102.12/x
  3. Step 3: Cross multiply
    9,386.67x = 14,069.88 × 6,102.12
  4. Step 4: Simplify right side
    9,386.67x = 85,856,096.15
  5. Step 5: Solve for x
    x = 85,856,096.15/9,386.67
  6. Step 6: Final answer
    x = 9,146.60

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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.