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Finding the Fourth Proportional to 9,814.49, 14,721.60 and 2,419.02

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Solution

The fourth proportional to 9,814.49, 14,721.60 and 2,419.02 is: 3,628.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,814.49 : 14,721.60 = 2,419.02 : x
  2. Step 2: Convert to fraction form
    9,814.49/14,721.60 = 2,419.02/x
  3. Step 3: Cross multiply
    9,814.49x = 14,721.60 × 2,419.02
  4. Step 4: Simplify right side
    9,814.49x = 35,611,844.83
  5. Step 5: Solve for x
    x = 35,611,844.83/9,814.49
  6. Step 6: Final answer
    x = 3,628.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.