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Finding the Fourth Proportional to 9,984.49, 14,969.68 and 4,434.82

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Solution

The fourth proportional to 9,984.49, 14,969.68 and 4,434.82 is: 6,649.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,984.49 : 14,969.68 = 4,434.82 : x
  2. Step 2: Convert to fraction form
    9,984.49/14,969.68 = 4,434.82/x
  3. Step 3: Cross multiply
    9,984.49x = 14,969.68 × 4,434.82
  4. Step 4: Simplify right side
    9,984.49x = 66,387,836.26
  5. Step 5: Solve for x
    x = 66,387,836.26/9,984.49
  6. Step 6: Final answer
    x = 6,649.10

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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.