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Finding the Fourth Proportional to 6,891.62, 9,491.01 and 6,870.02

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Solution

The fourth proportional to 6,891.62, 9,491.01 and 6,870.02 is: 9,461.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,891.62 : 9,491.01 = 6,870.02 : x
  2. Step 2: Convert to fraction form
    6,891.62/9,491.01 = 6,870.02/x
  3. Step 3: Cross multiply
    6,891.62x = 9,491.01 × 6,870.02
  4. Step 4: Simplify right side
    6,891.62x = 65,203,428.52
  5. Step 5: Solve for x
    x = 65,203,428.52/6,891.62
  6. Step 6: Final answer
    x = 9,461.26

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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.