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Finding the Fourth Proportional to 9,662.63, 13,334.56 and 5,629.35

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Solution

The fourth proportional to 9,662.63, 13,334.56 and 5,629.35 is: 7,768.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,662.63 : 13,334.56 = 5,629.35 : x
  2. Step 2: Convert to fraction form
    9,662.63/13,334.56 = 5,629.35/x
  3. Step 3: Cross multiply
    9,662.63x = 13,334.56 × 5,629.35
  4. Step 4: Simplify right side
    9,662.63x = 75,064,905.34
  5. Step 5: Solve for x
    x = 75,064,905.34/9,662.63
  6. Step 6: Final answer
    x = 7,768.58

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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.