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Finding the Fourth Proportional to 9,430.56, 14,145.44 and 2,856.47

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Solution

The fourth proportional to 9,430.56, 14,145.44 and 2,856.47 is: 4,284.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,430.56 : 14,145.44 = 2,856.47 : x
  2. Step 2: Convert to fraction form
    9,430.56/14,145.44 = 2,856.47/x
  3. Step 3: Cross multiply
    9,430.56x = 14,145.44 × 2,856.47
  4. Step 4: Simplify right side
    9,430.56x = 40,405,939.99
  5. Step 5: Solve for x
    x = 40,405,939.99/9,430.56
  6. Step 6: Final answer
    x = 4,284.57

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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.