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Finding the Fourth Proportional to 9,430.56, 14,145.90 and 3,190.65

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Solution

The fourth proportional to 9,430.56, 14,145.90 and 3,190.65 is: 4,786.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,430.56 : 14,145.90 = 3,190.65 : x
  2. Step 2: Convert to fraction form
    9,430.56/14,145.90 = 3,190.65/x
  3. Step 3: Cross multiply
    9,430.56x = 14,145.90 × 3,190.65
  4. Step 4: Simplify right side
    9,430.56x = 45,134,615.84
  5. Step 5: Solve for x
    x = 45,134,615.84/9,430.56
  6. Step 6: Final answer
    x = 4,786.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.