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Finding the Fourth Proportional to 9,385.36, 14,072.38 and 6,460.48

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Solution

The fourth proportional to 9,385.36, 14,072.38 and 6,460.48 is: 9,686.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,385.36 : 14,072.38 = 6,460.48 : x
  2. Step 2: Convert to fraction form
    9,385.36/14,072.38 = 6,460.48/x
  3. Step 3: Cross multiply
    9,385.36x = 14,072.38 × 6,460.48
  4. Step 4: Simplify right side
    9,385.36x = 90,914,329.54
  5. Step 5: Solve for x
    x = 90,914,329.54/9,385.36
  6. Step 6: Final answer
    x = 9,686.82

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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.