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Finding the Fourth Proportional to 6,522.71, 9,780.86 and 2,362.10

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Solution

The fourth proportional to 6,522.71, 9,780.86 and 2,362.10 is: 3,541.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,522.71 : 9,780.86 = 2,362.10 : x
  2. Step 2: Convert to fraction form
    6,522.71/9,780.86 = 2,362.10/x
  3. Step 3: Cross multiply
    6,522.71x = 9,780.86 × 2,362.10
  4. Step 4: Simplify right side
    6,522.71x = 23,103,326.41
  5. Step 5: Solve for x
    x = 23,103,326.41/6,522.71
  6. Step 6: Final answer
    x = 3,541.99

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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.