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Finding the Fourth Proportional to 9,538.97, 14,292.05 and 4,605.46

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Solution

The fourth proportional to 9,538.97, 14,292.05 and 4,605.46 is: 6,900.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,538.97 : 14,292.05 = 4,605.46 : x
  2. Step 2: Convert to fraction form
    9,538.97/14,292.05 = 4,605.46/x
  3. Step 3: Cross multiply
    9,538.97x = 14,292.05 × 4,605.46
  4. Step 4: Simplify right side
    9,538.97x = 65,821,405.84
  5. Step 5: Solve for x
    x = 65,821,405.84/9,538.97
  6. Step 6: Final answer
    x = 6,900.27

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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.