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Finding the Fourth Proportional to 9,732.99, 14,546.15 and 7,106.03

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Solution

The fourth proportional to 9,732.99, 14,546.15 and 7,106.03 is: 10,620.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,732.99 : 14,546.15 = 7,106.03 : x
  2. Step 2: Convert to fraction form
    9,732.99/14,546.15 = 7,106.03/x
  3. Step 3: Cross multiply
    9,732.99x = 14,546.15 × 7,106.03
  4. Step 4: Simplify right side
    9,732.99x = 103,365,378.28
  5. Step 5: Solve for x
    x = 103,365,378.28/9,732.99
  6. Step 6: Final answer
    x = 10,620.11

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.