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Finding the Fourth Proportional to 9,984.49, 13,762.51 and 7,291.44

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Solution

The fourth proportional to 9,984.49, 13,762.51 and 7,291.44 is: 10,050.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,984.49 : 13,762.51 = 7,291.44 : x
  2. Step 2: Convert to fraction form
    9,984.49/13,762.51 = 7,291.44/x
  3. Step 3: Cross multiply
    9,984.49x = 13,762.51 × 7,291.44
  4. Step 4: Simplify right side
    9,984.49x = 100,348,497.69
  5. Step 5: Solve for x
    x = 100,348,497.69/9,984.49
  6. Step 6: Final answer
    x = 10,050.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.