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Finding the Fourth Proportional to 9,037.64, 13,467.76 and 8,740.38

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Solution

The fourth proportional to 9,037.64, 13,467.76 and 8,740.38 is: 13,024.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,037.64 : 13,467.76 = 8,740.38 : x
  2. Step 2: Convert to fraction form
    9,037.64/13,467.76 = 8,740.38/x
  3. Step 3: Cross multiply
    9,037.64x = 13,467.76 × 8,740.38
  4. Step 4: Simplify right side
    9,037.64x = 117,713,340.15
  5. Step 5: Solve for x
    x = 117,713,340.15/9,037.64
  6. Step 6: Final answer
    x = 13,024.79

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.