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Finding the Fourth Proportional to 6,534.46, 9,802.91 and 2,152.23

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Solution

The fourth proportional to 6,534.46, 9,802.91 and 2,152.23 is: 3,228.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,534.46 : 9,802.91 = 2,152.23 : x
  2. Step 2: Convert to fraction form
    6,534.46/9,802.91 = 2,152.23/x
  3. Step 3: Cross multiply
    6,534.46x = 9,802.91 × 2,152.23
  4. Step 4: Simplify right side
    6,534.46x = 21,098,116.99
  5. Step 5: Solve for x
    x = 21,098,116.99/6,534.46
  6. Step 6: Final answer
    x = 3,228.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.