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Finding the Fourth Proportional to 9,210.18, 12,708.62 and 5,176.22

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Solution

The fourth proportional to 9,210.18, 12,708.62 and 5,176.22 is: 7,142.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,210.18 : 12,708.62 = 5,176.22 : x
  2. Step 2: Convert to fraction form
    9,210.18/12,708.62 = 5,176.22/x
  3. Step 3: Cross multiply
    9,210.18x = 12,708.62 × 5,176.22
  4. Step 4: Simplify right side
    9,210.18x = 65,782,613.02
  5. Step 5: Solve for x
    x = 65,782,613.02/9,210.18
  6. Step 6: Final answer
    x = 7,142.38

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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.