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Finding the Fourth Proportional to 9,852.66, 14,779.62 and 6,882.12

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Solution

The fourth proportional to 9,852.66, 14,779.62 and 6,882.12 is: 10,323.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,852.66 : 14,779.62 = 6,882.12 : x
  2. Step 2: Convert to fraction form
    9,852.66/14,779.62 = 6,882.12/x
  3. Step 3: Cross multiply
    9,852.66x = 14,779.62 × 6,882.12
  4. Step 4: Simplify right side
    9,852.66x = 101,715,118.39
  5. Step 5: Solve for x
    x = 101,715,118.39/9,852.66
  6. Step 6: Final answer
    x = 10,323.62

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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.