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Finding the Fourth Proportional to 9,779.90, 14,669.82 and 3,459.47

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Solution

The fourth proportional to 9,779.90, 14,669.82 and 3,459.47 is: 5,189.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,779.90 : 14,669.82 = 3,459.47 : x
  2. Step 2: Convert to fraction form
    9,779.90/14,669.82 = 3,459.47/x
  3. Step 3: Cross multiply
    9,779.90x = 14,669.82 × 3,459.47
  4. Step 4: Simplify right side
    9,779.90x = 50,749,728.85
  5. Step 5: Solve for x
    x = 50,749,728.85/9,779.90
  6. Step 6: Final answer
    x = 5,189.19

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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.