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Finding the Fourth Proportional to 6,197.84, 9,291.30 and 4,360.76

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Solution

The fourth proportional to 6,197.84, 9,291.30 and 4,360.76 is: 6,537.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,197.84 : 9,291.30 = 4,360.76 : x
  2. Step 2: Convert to fraction form
    6,197.84/9,291.30 = 4,360.76/x
  3. Step 3: Cross multiply
    6,197.84x = 9,291.30 × 4,360.76
  4. Step 4: Simplify right side
    6,197.84x = 40,517,129.39
  5. Step 5: Solve for x
    x = 40,517,129.39/6,197.84
  6. Step 6: Final answer
    x = 6,537.30

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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.