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Finding the Fourth Proportional to 9,976.50, 14,955.12 and 3,734.82

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Solution

The fourth proportional to 9,976.50, 14,955.12 and 3,734.82 is: 5,598.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,976.50 : 14,955.12 = 3,734.82 : x
  2. Step 2: Convert to fraction form
    9,976.50/14,955.12 = 3,734.82/x
  3. Step 3: Cross multiply
    9,976.50x = 14,955.12 × 3,734.82
  4. Step 4: Simplify right side
    9,976.50x = 55,854,681.28
  5. Step 5: Solve for x
    x = 55,854,681.28/9,976.50
  6. Step 6: Final answer
    x = 5,598.62

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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.