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Finding the Fourth Proportional to 9,749.16, 14,599.44 and 5,856.30

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Solution

The fourth proportional to 9,749.16, 14,599.44 and 5,856.30 is: 8,769.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,749.16 : 14,599.44 = 5,856.30 : x
  2. Step 2: Convert to fraction form
    9,749.16/14,599.44 = 5,856.30/x
  3. Step 3: Cross multiply
    9,749.16x = 14,599.44 × 5,856.30
  4. Step 4: Simplify right side
    9,749.16x = 85,498,700.47
  5. Step 5: Solve for x
    x = 85,498,700.47/9,749.16
  6. Step 6: Final answer
    x = 8,769.85

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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.