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Finding the Fourth Proportional to 9,900, 14,838.48 and 4,049.52

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Solution

The fourth proportional to 9,900, 14,838.48 and 4,049.52 is: 6,069.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,900 : 14,838.48 = 4,049.52 : x
  2. Step 2: Convert to fraction form
    9,900/14,838.48 = 4,049.52/x
  3. Step 3: Cross multiply
    9,900x = 14,838.48 × 4,049.52
  4. Step 4: Simplify right side
    9,900x = 60,088,721.53
  5. Step 5: Solve for x
    x = 60,088,721.53/9,900
  6. Step 6: Final answer
    x = 6,069.57

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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.