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Finding the Fourth Proportional to 7,265.38, 9,994.76 and 6,365.06

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Solution

The fourth proportional to 7,265.38, 9,994.76 and 6,365.06 is: 8,756.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,265.38 : 9,994.76 = 6,365.06 : x
  2. Step 2: Convert to fraction form
    7,265.38/9,994.76 = 6,365.06/x
  3. Step 3: Cross multiply
    7,265.38x = 9,994.76 × 6,365.06
  4. Step 4: Simplify right side
    7,265.38x = 63,617,215.26
  5. Step 5: Solve for x
    x = 63,617,215.26/7,265.38
  6. Step 6: Final answer
    x = 8,756.22

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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.