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Finding the Fourth Proportional to 9,628.81, 14,443.12 and 5,188.57

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Solution

The fourth proportional to 9,628.81, 14,443.12 and 5,188.57 is: 7,782.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,628.81 : 14,443.12 = 5,188.57 : x
  2. Step 2: Convert to fraction form
    9,628.81/14,443.12 = 5,188.57/x
  3. Step 3: Cross multiply
    9,628.81x = 14,443.12 × 5,188.57
  4. Step 4: Simplify right side
    9,628.81x = 74,939,090.06
  5. Step 5: Solve for x
    x = 74,939,090.06/9,628.81
  6. Step 6: Final answer
    x = 7,782.80

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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.