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Finding the Fourth Proportional to 6,568.14, 9,063.18 and 4,210.50

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Solution

The fourth proportional to 6,568.14, 9,063.18 and 4,210.50 is: 5,809.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,568.14 : 9,063.18 = 4,210.50 : x
  2. Step 2: Convert to fraction form
    6,568.14/9,063.18 = 4,210.50/x
  3. Step 3: Cross multiply
    6,568.14x = 9,063.18 × 4,210.50
  4. Step 4: Simplify right side
    6,568.14x = 38,160,519.39
  5. Step 5: Solve for x
    x = 38,160,519.39/6,568.14
  6. Step 6: Final answer
    x = 5,809.94

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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.