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Finding the Fourth Proportional to 9,779.12, 14,670.90 and 3,205.16

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Solution

The fourth proportional to 9,779.12, 14,670.90 and 3,205.16 is: 4,808.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,779.12 : 14,670.90 = 3,205.16 : x
  2. Step 2: Convert to fraction form
    9,779.12/14,670.90 = 3,205.16/x
  3. Step 3: Cross multiply
    9,779.12x = 14,670.90 × 3,205.16
  4. Step 4: Simplify right side
    9,779.12x = 47,022,581.84
  5. Step 5: Solve for x
    x = 47,022,581.84/9,779.12
  6. Step 6: Final answer
    x = 4,808.47

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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.