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Finding the Fourth Proportional to 9,678.44, 14,505.80 and 6,890

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Solution

The fourth proportional to 9,678.44, 14,505.80 and 6,890 is: 10,326.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,678.44 : 14,505.80 = 6,890 : x
  2. Step 2: Convert to fraction form
    9,678.44/14,505.80 = 6,890/x
  3. Step 3: Cross multiply
    9,678.44x = 14,505.80 × 6,890
  4. Step 4: Simplify right side
    9,678.44x = 99,944,962
  5. Step 5: Solve for x
    x = 99,944,962/9,678.44
  6. Step 6: Final answer
    x = 10,326.56

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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.