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Finding the Fourth Proportional to 9,962.64, 14,944.02 and 3,037.14

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Solution

The fourth proportional to 9,962.64, 14,944.02 and 3,037.14 is: 4,555.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,962.64 : 14,944.02 = 3,037.14 : x
  2. Step 2: Convert to fraction form
    9,962.64/14,944.02 = 3,037.14/x
  3. Step 3: Cross multiply
    9,962.64x = 14,944.02 × 3,037.14
  4. Step 4: Simplify right side
    9,962.64x = 45,387,080.90
  5. Step 5: Solve for x
    x = 45,387,080.90/9,962.64
  6. Step 6: Final answer
    x = 4,555.73

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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.