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Finding the Fourth Proportional to 9,644.48, 14,476.44 and 6,514.64

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Solution

The fourth proportional to 9,644.48, 14,476.44 and 6,514.64 is: 9,778.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,644.48 : 14,476.44 = 6,514.64 : x
  2. Step 2: Convert to fraction form
    9,644.48/14,476.44 = 6,514.64/x
  3. Step 3: Cross multiply
    9,644.48x = 14,476.44 × 6,514.64
  4. Step 4: Simplify right side
    9,644.48x = 94,308,795.08
  5. Step 5: Solve for x
    x = 94,308,795.08/9,644.48
  6. Step 6: Final answer
    x = 9,778.53

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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.