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Finding the Fourth Proportional to 9,678.31, 14,517.44 and 6,390.63

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Solution

The fourth proportional to 9,678.31, 14,517.44 and 6,390.63 is: 9,585.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,678.31 : 14,517.44 = 6,390.63 : x
  2. Step 2: Convert to fraction form
    9,678.31/14,517.44 = 6,390.63/x
  3. Step 3: Cross multiply
    9,678.31x = 14,517.44 × 6,390.63
  4. Step 4: Simplify right side
    9,678.31x = 92,775,515
  5. Step 5: Solve for x
    x = 92,775,515/9,678.31
  6. Step 6: Final answer
    x = 9,585.93

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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.