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Finding the Fourth Proportional to 9,838.76, 14,761.55 and 3,265.46

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Solution

The fourth proportional to 9,838.76, 14,761.55 and 3,265.46 is: 4,899.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,838.76 : 14,761.55 = 3,265.46 : x
  2. Step 2: Convert to fraction form
    9,838.76/14,761.55 = 3,265.46/x
  3. Step 3: Cross multiply
    9,838.76x = 14,761.55 × 3,265.46
  4. Step 4: Simplify right side
    9,838.76x = 48,203,185.42
  5. Step 5: Solve for x
    x = 48,203,185.42/9,838.76
  6. Step 6: Final answer
    x = 4,899.32

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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.