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Finding the Fourth Proportional to 9,803.89, 14,708.31 and 2,878.39

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Solution

The fourth proportional to 9,803.89, 14,708.31 and 2,878.39 is: 4,318.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,803.89 : 14,708.31 = 2,878.39 : x
  2. Step 2: Convert to fraction form
    9,803.89/14,708.31 = 2,878.39/x
  3. Step 3: Cross multiply
    9,803.89x = 14,708.31 × 2,878.39
  4. Step 4: Simplify right side
    9,803.89x = 42,336,252.42
  5. Step 5: Solve for x
    x = 42,336,252.42/9,803.89
  6. Step 6: Final answer
    x = 4,318.31

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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.