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Finding the Fourth Proportional to 7,080.96, 9,700.80 and 6,817.92

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Solution

The fourth proportional to 7,080.96, 9,700.80 and 6,817.92 is: 9,340.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,080.96 : 9,700.80 = 6,817.92 : x
  2. Step 2: Convert to fraction form
    7,080.96/9,700.80 = 6,817.92/x
  3. Step 3: Cross multiply
    7,080.96x = 9,700.80 × 6,817.92
  4. Step 4: Simplify right side
    7,080.96x = 66,139,278.34
  5. Step 5: Solve for x
    x = 66,139,278.34/7,080.96
  6. Step 6: Final answer
    x = 9,340.44

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.