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Finding the Fourth Proportional to 6,568.16, 9,063.68 and 3,735.50

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Solution

The fourth proportional to 6,568.16, 9,063.68 and 3,735.50 is: 5,154.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,568.16 : 9,063.68 = 3,735.50 : x
  2. Step 2: Convert to fraction form
    6,568.16/9,063.68 = 3,735.50/x
  3. Step 3: Cross multiply
    6,568.16x = 9,063.68 × 3,735.50
  4. Step 4: Simplify right side
    6,568.16x = 33,857,312.64
  5. Step 5: Solve for x
    x = 33,857,312.64/6,568.16
  6. Step 6: Final answer
    x = 5,154.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.