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Finding the Fourth Proportional to 9,661.20, 13,357.26 and 7,430.46

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Solution

The fourth proportional to 9,661.20, 13,357.26 and 7,430.46 is: 10,273.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,661.20 : 13,357.26 = 7,430.46 : x
  2. Step 2: Convert to fraction form
    9,661.20/13,357.26 = 7,430.46/x
  3. Step 3: Cross multiply
    9,661.20x = 13,357.26 × 7,430.46
  4. Step 4: Simplify right side
    9,661.20x = 99,250,586.14
  5. Step 5: Solve for x
    x = 99,250,586.14/9,661.20
  6. Step 6: Final answer
    x = 10,273.11

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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.