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Finding the Fourth Proportional to 9,708.96, 14,548.97 and 5,022.71

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Solution

The fourth proportional to 9,708.96, 14,548.97 and 5,022.71 is: 7,526.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,708.96 : 14,548.97 = 5,022.71 : x
  2. Step 2: Convert to fraction form
    9,708.96/14,548.97 = 5,022.71/x
  3. Step 3: Cross multiply
    9,708.96x = 14,548.97 × 5,022.71
  4. Step 4: Simplify right side
    9,708.96x = 73,075,257.11
  5. Step 5: Solve for x
    x = 73,075,257.11/9,708.96
  6. Step 6: Final answer
    x = 7,526.58

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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.