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Finding the Fourth Proportional to 7,096, 9,792.48 and 4,303.12

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Solution

The fourth proportional to 7,096, 9,792.48 and 4,303.12 is: 5,938.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,096 : 9,792.48 = 4,303.12 : x
  2. Step 2: Convert to fraction form
    7,096/9,792.48 = 4,303.12/x
  3. Step 3: Cross multiply
    7,096x = 9,792.48 × 4,303.12
  4. Step 4: Simplify right side
    7,096x = 42,138,216.54
  5. Step 5: Solve for x
    x = 42,138,216.54/7,096
  6. Step 6: Final answer
    x = 5,938.31

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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.