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Finding the Fourth Proportional to 9,838.38, 14,748.66 and 4,909.54

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Solution

The fourth proportional to 9,838.38, 14,748.66 and 4,909.54 is: 7,359.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,838.38 : 14,748.66 = 4,909.54 : x
  2. Step 2: Convert to fraction form
    9,838.38/14,748.66 = 4,909.54/x
  3. Step 3: Cross multiply
    9,838.38x = 14,748.66 × 4,909.54
  4. Step 4: Simplify right side
    9,838.38x = 72,409,136.22
  5. Step 5: Solve for x
    x = 72,409,136.22/9,838.38
  6. Step 6: Final answer
    x = 7,359.86

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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.