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Finding the Fourth Proportional to 9,367.70, 12,929.24 and 6,014.75

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Solution

The fourth proportional to 9,367.70, 12,929.24 and 6,014.75 is: 8,301.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,367.70 : 12,929.24 = 6,014.75 : x
  2. Step 2: Convert to fraction form
    9,367.70/12,929.24 = 6,014.75/x
  3. Step 3: Cross multiply
    9,367.70x = 12,929.24 × 6,014.75
  4. Step 4: Simplify right side
    9,367.70x = 77,766,146.29
  5. Step 5: Solve for x
    x = 77,766,146.29/9,367.70
  6. Step 6: Final answer
    x = 8,301.52

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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.