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Finding the Fourth Proportional to 9,574.04, 13,212.14 and 5,324.99

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Solution

The fourth proportional to 9,574.04, 13,212.14 and 5,324.99 is: 7,348.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,574.04 : 13,212.14 = 5,324.99 : x
  2. Step 2: Convert to fraction form
    9,574.04/13,212.14 = 5,324.99/x
  3. Step 3: Cross multiply
    9,574.04x = 13,212.14 × 5,324.99
  4. Step 4: Simplify right side
    9,574.04x = 70,354,420.69
  5. Step 5: Solve for x
    x = 70,354,420.69/9,574.04
  6. Step 6: Final answer
    x = 7,348.46

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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.