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Finding the Fourth Proportional to 9,662.34, 13,334.01 and 5,470.98

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Solution

The fourth proportional to 9,662.34, 13,334.01 and 5,470.98 is: 7,549.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,662.34 : 13,334.01 = 5,470.98 : x
  2. Step 2: Convert to fraction form
    9,662.34/13,334.01 = 5,470.98/x
  3. Step 3: Cross multiply
    9,662.34x = 13,334.01 × 5,470.98
  4. Step 4: Simplify right side
    9,662.34x = 72,950,102.03
  5. Step 5: Solve for x
    x = 72,950,102.03/9,662.34
  6. Step 6: Final answer
    x = 7,549.94

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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.