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Finding the Fourth Proportional to 9,895.80, 14,842.08 and 3,658.74

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Solution

The fourth proportional to 9,895.80, 14,842.08 and 3,658.74 is: 5,487.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,895.80 : 14,842.08 = 3,658.74 : x
  2. Step 2: Convert to fraction form
    9,895.80/14,842.08 = 3,658.74/x
  3. Step 3: Cross multiply
    9,895.80x = 14,842.08 × 3,658.74
  4. Step 4: Simplify right side
    9,895.80x = 54,303,311.78
  5. Step 5: Solve for x
    x = 54,303,311.78/9,895.80
  6. Step 6: Final answer
    x = 5,487.51

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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.