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Finding the Fourth Proportional to 9,800.38, 14,690.85 and 4,600.18

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Solution

The fourth proportional to 9,800.38, 14,690.85 and 4,600.18 is: 6,895.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,800.38 : 14,690.85 = 4,600.18 : x
  2. Step 2: Convert to fraction form
    9,800.38/14,690.85 = 4,600.18/x
  3. Step 3: Cross multiply
    9,800.38x = 14,690.85 × 4,600.18
  4. Step 4: Simplify right side
    9,800.38x = 67,580,554.35
  5. Step 5: Solve for x
    x = 67,580,554.35/9,800.38
  6. Step 6: Final answer
    x = 6,895.71

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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.