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Finding the Fourth Proportional to 9,779.77, 14,670.41 and 3,206.62

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Solution

The fourth proportional to 9,779.77, 14,670.41 and 3,206.62 is: 4,810.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,779.77 : 14,670.41 = 3,206.62 : x
  2. Step 2: Convert to fraction form
    9,779.77/14,670.41 = 3,206.62/x
  3. Step 3: Cross multiply
    9,779.77x = 14,670.41 × 3,206.62
  4. Step 4: Simplify right side
    9,779.77x = 47,042,377.41
  5. Step 5: Solve for x
    x = 47,042,377.41/9,779.77
  6. Step 6: Final answer
    x = 4,810.17

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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.