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Finding the Fourth Proportional to 9,962.94, 13,749.12 and 5,486.97

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Solution

The fourth proportional to 9,962.94, 13,749.12 and 5,486.97 is: 7,572.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,962.94 : 13,749.12 = 5,486.97 : x
  2. Step 2: Convert to fraction form
    9,962.94/13,749.12 = 5,486.97/x
  3. Step 3: Cross multiply
    9,962.94x = 13,749.12 × 5,486.97
  4. Step 4: Simplify right side
    9,962.94x = 75,441,008.97
  5. Step 5: Solve for x
    x = 75,441,008.97/9,962.94
  6. Step 6: Final answer
    x = 7,572.16

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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.