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Finding the Fourth Proportional to 9,202.34, 13,792.71 and 4,821.86

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Solution

The fourth proportional to 9,202.34, 13,792.71 and 4,821.86 is: 7,227.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,202.34 : 13,792.71 = 4,821.86 : x
  2. Step 2: Convert to fraction form
    9,202.34/13,792.71 = 4,821.86/x
  3. Step 3: Cross multiply
    9,202.34x = 13,792.71 × 4,821.86
  4. Step 4: Simplify right side
    9,202.34x = 66,506,516.64
  5. Step 5: Solve for x
    x = 66,506,516.64/9,202.34
  6. Step 6: Final answer
    x = 7,227.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.