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Finding the Fourth Proportional to 9,412.12, 13,002.24 and 7,521.22

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Solution

The fourth proportional to 9,412.12, 13,002.24 and 7,521.22 is: 10,390.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,412.12 : 13,002.24 = 7,521.22 : x
  2. Step 2: Convert to fraction form
    9,412.12/13,002.24 = 7,521.22/x
  3. Step 3: Cross multiply
    9,412.12x = 13,002.24 × 7,521.22
  4. Step 4: Simplify right side
    9,412.12x = 97,792,604.92
  5. Step 5: Solve for x
    x = 97,792,604.92/9,412.12
  6. Step 6: Final answer
    x = 10,390.07

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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.