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Finding the Fourth Proportional to 9,574.42, 13,212.28 and 5,325.46

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Solution

The fourth proportional to 9,574.42, 13,212.28 and 5,325.46 is: 7,348.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,574.42 : 13,212.28 = 5,325.46 : x
  2. Step 2: Convert to fraction form
    9,574.42/13,212.28 = 5,325.46/x
  3. Step 3: Cross multiply
    9,574.42x = 13,212.28 × 5,325.46
  4. Step 4: Simplify right side
    9,574.42x = 70,361,468.65
  5. Step 5: Solve for x
    x = 70,361,468.65/9,574.42
  6. Step 6: Final answer
    x = 7,348.90

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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.