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Finding the Fourth Proportional to 9,732.94, 13,415.68 and 7,604.75

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Solution

The fourth proportional to 9,732.94, 13,415.68 and 7,604.75 is: 10,482.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,732.94 : 13,415.68 = 7,604.75 : x
  2. Step 2: Convert to fraction form
    9,732.94/13,415.68 = 7,604.75/x
  3. Step 3: Cross multiply
    9,732.94x = 13,415.68 × 7,604.75
  4. Step 4: Simplify right side
    9,732.94x = 102,022,892.48
  5. Step 5: Solve for x
    x = 102,022,892.48/9,732.94
  6. Step 6: Final answer
    x = 10,482.23

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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.