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Finding the Fourth Proportional to 9,600.68, 13,249.02 and 5,352.23

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Solution

The fourth proportional to 9,600.68, 13,249.02 and 5,352.23 is: 7,386.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,600.68 : 13,249.02 = 5,352.23 : x
  2. Step 2: Convert to fraction form
    9,600.68/13,249.02 = 5,352.23/x
  3. Step 3: Cross multiply
    9,600.68x = 13,249.02 × 5,352.23
  4. Step 4: Simplify right side
    9,600.68x = 70,911,802.31
  5. Step 5: Solve for x
    x = 70,911,802.31/9,600.68
  6. Step 6: Final answer
    x = 7,386.12

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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.