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Finding the Fourth Proportional to 9,007.16, 12,418.29 and 7,386.14

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Solution

The fourth proportional to 9,007.16, 12,418.29 and 7,386.14 is: 10,183.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,007.16 : 12,418.29 = 7,386.14 : x
  2. Step 2: Convert to fraction form
    9,007.16/12,418.29 = 7,386.14/x
  3. Step 3: Cross multiply
    9,007.16x = 12,418.29 × 7,386.14
  4. Step 4: Simplify right side
    9,007.16x = 91,723,166.41
  5. Step 5: Solve for x
    x = 91,723,166.41/9,007.16
  6. Step 6: Final answer
    x = 10,183.37

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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.