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Finding the Fourth Proportional to 6,568.67, 9,064.76 and 4,210.81

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Solution

The fourth proportional to 6,568.67, 9,064.76 and 4,210.81 is: 5,810.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,568.67 : 9,064.76 = 4,210.81 : x
  2. Step 2: Convert to fraction form
    6,568.67/9,064.76 = 4,210.81/x
  3. Step 3: Cross multiply
    6,568.67x = 9,064.76 × 4,210.81
  4. Step 4: Simplify right side
    6,568.67x = 38,169,982.06
  5. Step 5: Solve for x
    x = 38,169,982.06/6,568.67
  6. Step 6: Final answer
    x = 5,810.91

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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.