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Finding the Fourth Proportional to 6,197.34, 8,552.07 and 3,364.61

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Solution

The fourth proportional to 6,197.34, 8,552.07 and 3,364.61 is: 4,643.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,197.34 : 8,552.07 = 3,364.61 : x
  2. Step 2: Convert to fraction form
    6,197.34/8,552.07 = 3,364.61/x
  3. Step 3: Cross multiply
    6,197.34x = 8,552.07 × 3,364.61
  4. Step 4: Simplify right side
    6,197.34x = 28,774,337.48
  5. Step 5: Solve for x
    x = 28,774,337.48/6,197.34
  6. Step 6: Final answer
    x = 4,643.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.