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Finding the Fourth Proportional to 6,114.86, 9,172.33 and 1,497.86

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Solution

The fourth proportional to 6,114.86, 9,172.33 and 1,497.86 is: 2,246.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,114.86 : 9,172.33 = 1,497.86 : x
  2. Step 2: Convert to fraction form
    6,114.86/9,172.33 = 1,497.86/x
  3. Step 3: Cross multiply
    6,114.86x = 9,172.33 × 1,497.86
  4. Step 4: Simplify right side
    6,114.86x = 13,738,866.21
  5. Step 5: Solve for x
    x = 13,738,866.21/6,114.86
  6. Step 6: Final answer
    x = 2,246.80

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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.