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Finding the Fourth Proportional to 7,097.79, 9,795.06 and 3,911.07

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Solution

The fourth proportional to 7,097.79, 9,795.06 and 3,911.07 is: 5,397.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,097.79 : 9,795.06 = 3,911.07 : x
  2. Step 2: Convert to fraction form
    7,097.79/9,795.06 = 3,911.07/x
  3. Step 3: Cross multiply
    7,097.79x = 9,795.06 × 3,911.07
  4. Step 4: Simplify right side
    7,097.79x = 38,309,165.31
  5. Step 5: Solve for x
    x = 38,309,165.31/7,097.79
  6. Step 6: Final answer
    x = 5,397.34

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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.