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Finding the Fourth Proportional to 9,644.40, 14,454 and 5,260.68

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Solution

The fourth proportional to 9,644.40, 14,454 and 5,260.68 is: 7,884.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,644.40 : 14,454 = 5,260.68 : x
  2. Step 2: Convert to fraction form
    9,644.40/14,454 = 5,260.68/x
  3. Step 3: Cross multiply
    9,644.40x = 14,454 × 5,260.68
  4. Step 4: Simplify right side
    9,644.40x = 76,037,868.72
  5. Step 5: Solve for x
    x = 76,037,868.72/9,644.40
  6. Step 6: Final answer
    x = 7,884.15

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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.