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Finding the Fourth Proportional to 9,158, 12,633.18 and 5,574.04

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Solution

The fourth proportional to 9,158, 12,633.18 and 5,574.04 is: 7,689.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,158 : 12,633.18 = 5,574.04 : x
  2. Step 2: Convert to fraction form
    9,158/12,633.18 = 5,574.04/x
  3. Step 3: Cross multiply
    9,158x = 12,633.18 × 5,574.04
  4. Step 4: Simplify right side
    9,158x = 70,417,850.65
  5. Step 5: Solve for x
    x = 70,417,850.65/9,158
  6. Step 6: Final answer
    x = 7,689.22

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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.