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Finding the Fourth Proportional to 9,250.16, 13,872.75 and 4,314.98

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Solution

The fourth proportional to 9,250.16, 13,872.75 and 4,314.98 is: 6,471.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,250.16 : 13,872.75 = 4,314.98 : x
  2. Step 2: Convert to fraction form
    9,250.16/13,872.75 = 4,314.98/x
  3. Step 3: Cross multiply
    9,250.16x = 13,872.75 × 4,314.98
  4. Step 4: Simplify right side
    9,250.16x = 59,860,638.80
  5. Step 5: Solve for x
    x = 59,860,638.80/9,250.16
  6. Step 6: Final answer
    x = 6,471.31

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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.