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Finding the Fourth Proportional to 9,644.36, 13,303.68 and 5,664.74

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Solution

The fourth proportional to 9,644.36, 13,303.68 and 5,664.74 is: 7,814.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,644.36 : 13,303.68 = 5,664.74 : x
  2. Step 2: Convert to fraction form
    9,644.36/13,303.68 = 5,664.74/x
  3. Step 3: Cross multiply
    9,644.36x = 13,303.68 × 5,664.74
  4. Step 4: Simplify right side
    9,644.36x = 75,361,888.24
  5. Step 5: Solve for x
    x = 75,361,888.24/9,644.36
  6. Step 6: Final answer
    x = 7,814.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.