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Finding the Fourth Proportional to 6,225.60, 9,381.12 and 5,154.08

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Solution

The fourth proportional to 6,225.60, 9,381.12 and 5,154.08 is: 7,766.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,225.60 : 9,381.12 = 5,154.08 : x
  2. Step 2: Convert to fraction form
    6,225.60/9,381.12 = 5,154.08/x
  3. Step 3: Cross multiply
    6,225.60x = 9,381.12 × 5,154.08
  4. Step 4: Simplify right side
    6,225.60x = 48,351,042.97
  5. Step 5: Solve for x
    x = 48,351,042.97/6,225.60
  6. Step 6: Final answer
    x = 7,766.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.