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Finding the Fourth Proportional to 9,407.37, 12,981.90 and 5,158.22

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Solution

The fourth proportional to 9,407.37, 12,981.90 and 5,158.22 is: 7,118.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,407.37 : 12,981.90 = 5,158.22 : x
  2. Step 2: Convert to fraction form
    9,407.37/12,981.90 = 5,158.22/x
  3. Step 3: Cross multiply
    9,407.37x = 12,981.90 × 5,158.22
  4. Step 4: Simplify right side
    9,407.37x = 66,963,450.65
  5. Step 5: Solve for x
    x = 66,963,450.65/9,407.37
  6. Step 6: Final answer
    x = 7,118.19

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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.