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Finding the Fourth Proportional to 9,919.51, 14,856.47 and 5,749.21

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Solution

The fourth proportional to 9,919.51, 14,856.47 and 5,749.21 is: 8,610.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,919.51 : 14,856.47 = 5,749.21 : x
  2. Step 2: Convert to fraction form
    9,919.51/14,856.47 = 5,749.21/x
  3. Step 3: Cross multiply
    9,919.51x = 14,856.47 × 5,749.21
  4. Step 4: Simplify right side
    9,919.51x = 85,412,891.61
  5. Step 5: Solve for x
    x = 85,412,891.61/9,919.51
  6. Step 6: Final answer
    x = 8,610.60

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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.