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Finding the Fourth Proportional to 9,425.42, 13,007.04 and 5,233.68

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Solution

The fourth proportional to 9,425.42, 13,007.04 and 5,233.68 is: 7,222.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,425.42 : 13,007.04 = 5,233.68 : x
  2. Step 2: Convert to fraction form
    9,425.42/13,007.04 = 5,233.68/x
  3. Step 3: Cross multiply
    9,425.42x = 13,007.04 × 5,233.68
  4. Step 4: Simplify right side
    9,425.42x = 68,074,685.11
  5. Step 5: Solve for x
    x = 68,074,685.11/9,425.42
  6. Step 6: Final answer
    x = 7,222.46

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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.