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Finding the Fourth Proportional to 9,245.16, 13,865.25 and 4,309.98

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Solution

The fourth proportional to 9,245.16, 13,865.25 and 4,309.98 is: 6,463.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,245.16 : 13,865.25 = 4,309.98 : x
  2. Step 2: Convert to fraction form
    9,245.16/13,865.25 = 4,309.98/x
  3. Step 3: Cross multiply
    9,245.16x = 13,865.25 × 4,309.98
  4. Step 4: Simplify right side
    9,245.16x = 59,758,950.20
  5. Step 5: Solve for x
    x = 59,758,950.20/9,245.16
  6. Step 6: Final answer
    x = 6,463.81

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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.