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Finding the Fourth Proportional to 9,738.99, 14,555.12 and 7,112.03

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Solution

The fourth proportional to 9,738.99, 14,555.12 and 7,112.03 is: 10,629.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,738.99 : 14,555.12 = 7,112.03 : x
  2. Step 2: Convert to fraction form
    9,738.99/14,555.12 = 7,112.03/x
  3. Step 3: Cross multiply
    9,738.99x = 14,555.12 × 7,112.03
  4. Step 4: Simplify right side
    9,738.99x = 103,516,341.76
  5. Step 5: Solve for x
    x = 103,516,341.76/9,738.99
  6. Step 6: Final answer
    x = 10,629.06

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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.