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Finding the Fourth Proportional to 9,574.71, 13,212.90 and 5,325.68

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Solution

The fourth proportional to 9,574.71, 13,212.90 and 5,325.68 is: 7,349.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,574.71 : 13,212.90 = 5,325.68 : x
  2. Step 2: Convert to fraction form
    9,574.71/13,212.90 = 5,325.68/x
  3. Step 3: Cross multiply
    9,574.71x = 13,212.90 × 5,325.68
  4. Step 4: Simplify right side
    9,574.71x = 70,367,632.38
  5. Step 5: Solve for x
    x = 70,367,632.38/9,574.71
  6. Step 6: Final answer
    x = 7,349.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.