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Finding the Fourth Proportional to 7,095.64, 9,792.02 and 3,908.96

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Solution

The fourth proportional to 7,095.64, 9,792.02 and 3,908.96 is: 5,394.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,095.64 : 9,792.02 = 3,908.96 : x
  2. Step 2: Convert to fraction form
    7,095.64/9,792.02 = 3,908.96/x
  3. Step 3: Cross multiply
    7,095.64x = 9,792.02 × 3,908.96
  4. Step 4: Simplify right side
    7,095.64x = 38,276,614.50
  5. Step 5: Solve for x
    x = 38,276,614.50/7,095.64
  6. Step 6: Final answer
    x = 5,394.39

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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.