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Finding the Fourth Proportional to 9,625.40, 14,438.10 and 4,441.40

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Solution

The fourth proportional to 9,625.40, 14,438.10 and 4,441.40 is: 6,662.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,625.40 : 14,438.10 = 4,441.40 : x
  2. Step 2: Convert to fraction form
    9,625.40/14,438.10 = 4,441.40/x
  3. Step 3: Cross multiply
    9,625.40x = 14,438.10 × 4,441.40
  4. Step 4: Simplify right side
    9,625.40x = 64,125,377.34
  5. Step 5: Solve for x
    x = 64,125,377.34/9,625.40
  6. Step 6: Final answer
    x = 6,662.10

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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.