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Finding the Fourth Proportional to 9,767.01, 14,650.51 and 6,858.30

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Solution

The fourth proportional to 9,767.01, 14,650.51 and 6,858.30 is: 10,287.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,767.01 : 14,650.51 = 6,858.30 : x
  2. Step 2: Convert to fraction form
    9,767.01/14,650.51 = 6,858.30/x
  3. Step 3: Cross multiply
    9,767.01x = 14,650.51 × 6,858.30
  4. Step 4: Simplify right side
    9,767.01x = 100,477,510.13
  5. Step 5: Solve for x
    x = 100,477,510.13/9,767.01
  6. Step 6: Final answer
    x = 10,287.44

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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.