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Finding the Fourth Proportional to 9,626.40, 14,428.80 and 4,944.60

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Solution

The fourth proportional to 9,626.40, 14,428.80 and 4,944.60 is: 7,411.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,626.40 : 14,428.80 = 4,944.60 : x
  2. Step 2: Convert to fraction form
    9,626.40/14,428.80 = 4,944.60/x
  3. Step 3: Cross multiply
    9,626.40x = 14,428.80 × 4,944.60
  4. Step 4: Simplify right side
    9,626.40x = 71,344,644.48
  5. Step 5: Solve for x
    x = 71,344,644.48/9,626.40
  6. Step 6: Final answer
    x = 7,411.35

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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.