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Finding the Fourth Proportional to 9,564.12, 14,329.38 and 6,644.28

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Solution

The fourth proportional to 9,564.12, 14,329.38 and 6,644.28 is: 9,954.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,564.12 : 14,329.38 = 6,644.28 : x
  2. Step 2: Convert to fraction form
    9,564.12/14,329.38 = 6,644.28/x
  3. Step 3: Cross multiply
    9,564.12x = 14,329.38 × 6,644.28
  4. Step 4: Simplify right side
    9,564.12x = 95,208,412.95
  5. Step 5: Solve for x
    x = 95,208,412.95/9,564.12
  6. Step 6: Final answer
    x = 9,954.75

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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.