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Finding the Fourth Proportional to 9,670, 13,351.04 and 7,427.88

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Solution

The fourth proportional to 9,670, 13,351.04 and 7,427.88 is: 10,255.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,670 : 13,351.04 = 7,427.88 : x
  2. Step 2: Convert to fraction form
    9,670/13,351.04 = 7,427.88/x
  3. Step 3: Cross multiply
    9,670x = 13,351.04 × 7,427.88
  4. Step 4: Simplify right side
    9,670x = 99,169,923.00
  5. Step 5: Solve for x
    x = 99,169,923.00/9,670
  6. Step 6: Final answer
    x = 10,255.42

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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.