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Finding the Fourth Proportional to 6,397.57, 9,597.66 and 2,699.80

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Solution

The fourth proportional to 6,397.57, 9,597.66 and 2,699.80 is: 4,050.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,397.57 : 9,597.66 = 2,699.80 : x
  2. Step 2: Convert to fraction form
    6,397.57/9,597.66 = 2,699.80/x
  3. Step 3: Cross multiply
    6,397.57x = 9,597.66 × 2,699.80
  4. Step 4: Simplify right side
    6,397.57x = 25,911,762.47
  5. Step 5: Solve for x
    x = 25,911,762.47/6,397.57
  6. Step 6: Final answer
    x = 4,050.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.